IM 6.7.10 Lesson: Interpreting Inequalities
Is each equation true or false?
[math]3\left(12+5\right)=\left(3\cdot12\right)\cdot\left(3\cdot5\right)[/math]
Explain your reasoning.
[math]\frac{1}{3}\cdot\frac{3}{4}=\frac{3}{4}\cdot\frac{2}{6}[/math]
Explain your reasoning.
[math]2\cdot\left(1.5\right)\cdot12=4\cdot\left(0.75\right)\cdot6[/math]
Explain your reasoning.
Noah scored n points in a basketball game.
What does [img]data:image/png;base64,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[/img] mean in the context of the basketball game?
What does [img]data:image/png;base64,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[/img] mean in the context of the basketball game?
Draw two number lines to represent the solutions to the two inequalities.
Name a possible value for [math]n[/math] that is a solution to both inequalities.
Name a possible value for [math]n[/math] that is a solution to [img]data:image/png;base64,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[/img], but not a solution to [img]data:image/png;base64,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[/img].
Can [math]-8[/math] be a solution to [math]n[/math] in this context? Explain your reasoning.
Here is a diagram of an unbalanced hanger.
[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATIAAADrCAYAAADqgBqWAAAgAElEQVR4Ae2dB3wUBfbHtyX0JBBC74QSkpBQQxEVxRMRTmwncngqFkDPE7FgOfV/lrtDOQ4VsCAHInJKUTkQFRU7YMN2IpYTuygCYr3+/p/vi4NrLiGbZHd2Z/bN57Of3Wxmd2Z+M/PbV37vvYDYYggYAoaAxxEIeHz/bfcNAUPAEBAjMrsIDAFDwPMIGJF5/hTaARgChoARmV0DhoAh4HkEjMg8fwrtAAwBQ8CIzK4BQ8AQ8DwCRmSeP4V2AIaAIWBEZteAIWAIeB4BIzLPn0I7AEPAEDAis2vAEDAEPI+AEZnnT6EdgCFgCBiR2TVgCBgCnkfAiMzzpzC1DuDbb7+VLVu2yHPPPSebNm3a+3j//fdTa0dtb3yFgBGZr05n8g/m888/l0mTJsnAgQOltLRUH3369JGlS5cmf+dsD3yLgBGZb09tcg7s448/lpEjR0p2drZkZmbqo169ejJ79uzk7JBtNS0QMCJLi9Ps3kF+9NFHMmLECGnYsKEEAgF9BINBmTlzpns7YVtKOwSMyNLulCf2gI3IEouvfXvlCBiRVY6LvVtLBIzIagmcfaxOCBiR1Qk++3BFBIzIKiJif7uBgBGZGyin0TaMyNLoZKfQoRqRpdDJ8MOuGJH54Sx67xiMyLx3zlJ6j43IUvr0+HbnjMh8e2qTc2BGZMnBPd23akSW7ldAnI/fiCzOgNrXxYSAEVlMMNlKsSJgRBYrUrZePBEwIosnmvZdYkRmF0EyEDAiSwbqPt6mEZmPT24KH5oRWQqfHC/umhGZF8+a9/fZiMz75zCljsCILKVOR9rsjBFZ2pxqdw7UiMwdnG0rP0bAiOzHeNhfdUTAiKyOANrHa4VAyhHZv/71L/nmm29kz549+vyPf/xD/vvf/9bq4OxD7iNgROY+5rZFkZQjsh07dsiVV14pv/71r2XZsmXy0ksvKaEZmXnjcjUi88Z58ttephyR0Sr55z//ubRo0UK6desmBx54oJx22mly/fXXy4YNG+TDDz9Uaw3Lzcgt9S5HI7LUOyfpsEcpR2TcCMccc4zQ551WybRJjkQikpWVJe3bt5dRo0bJjTfeKFu3bpXPPvtMvvjiC7XY/vnPf8p//vOfdDhnKX2MRmQpfXp8u3MpT2QOmYVCIcnIyFCCox98bm6u9oafPn26uqCvvfaaEppvz5RHDsyIzCMnyme76Qkic4ZYRD9DbPXr15ecnBzJz8+X4cOHy8knnyw33HCDPP7448IcRay1f//73+aCunjRGpG5CLZtai8CniEyXEwe0WRW8TUWW5MmTaR169Zy1FFHyXXXXafDYrdv3y67d++Wr7/+WswF3XvuE/LCiCwhsNqXVoOAZ4isadOmOiNxX2TG/7DUiKkRY2vUqJG0adNGDj74YLnooovkz3/+s7z66quWBa3moqjLv43I6oKefba2CHiGyCCiW2+9Vc466ywZNGiQtGvXTq0vrLCKlpnzt0NsuKAQYdeuXeWAAw6QE044Qa21p556Sj744AP58ssv1VKrLYj2uR8QMCL7AQt75R4CniGypUuXCpILhLKQz+rVq+XUU0+VwsJCadmypRIVFhjTrfdltUFy4XBYSRAyPOKII2T+/Pnqgn7yySeyc+dOdUFNiFu7i9CIrHa42afqhoCniAzdGBILCO3vf/+7uojoyu6//3655ppr5LjjjpPi4mJ1K/dFZo6l5rigZEEhQyZkT506VSDNF198Ub777jtLFNTw+jIiqyFgtnpcEPAMkRHfqmwhKwnh7Nq1S9566y154oknZNGiReqCDh06VNq2bavWF1aY43JW9sz/cUHRq5EF5bMnnXSS/PGPf1QhLlYg1iAkakvVCBiRVY2N/SdxCHieyCpCg9XmuKDvvfeeaswmT54s3bt3V1Jr1qyZJgGIrZEYqIzUeA+rzRHidujQQcaOHatC3JdfflmrCxwX1LKgPz4DRmQ/xsP+cgcB3xEZsFXmgnKDPfzww+qCEuzv1auXNGjQoEoic8jMyYISe2N9XFA0a9OmTZMlS5ZobA2L0JZyBIzI7EpIBgK+JLLKgHRcUESyf/vb3+TJJ5+U2267TaZMmaJuJIF/3Mp9WWmQG/9H2pGdna1Z0P3220+OP/54zYJWFOJWth9+f8+IzO9nODWPL22IrDL4yUxCbO+++64sX75ccEFJFlDTSQkUWVBc0H0lDiA3R4iLtXbsscdqgTtdO6guiHZB06HI3YissivN3ks0AmlNZNEuKKRGHzQkGLigs2bNknHjxklRUZHGyiCsqh5OFpSEAS4oWVCEuI4Levvtt6sQ99tvv030+Uz69xuRJf0UpOUOpDWRVTzjDrER86KkiSzo008/rS7o2WefLf3791drjTIoEgHVEZtTC9qlSxcZPHiwjB8/Xv7whz/Ixo0bVQv31Vdf+S4LakRW8aqyv91AwIisGpQhN7KgqP+5Se+9917tj1ZaWipkMx0XNBYhLuTXuHFjzZ5SC0qlAi4o2VVaEkFsXhfiGpFVc0HZvxOCgBFZDLA6lhqEBtHgIiLEfeihh1RnNmHCBHVB91Uu5VhvVWVBic8tXrxYhbheJjMjshguKFsl7ggYkdUSUicLigtKFhR38Y477lAh7pAhQ9TqwvqqLgtKXI0sKO5q586dZeDAgQIxEqPbtGnT3lpQtueFxYjMC2fJf/toRBancxrtgm7btk3LnM444wzp3bu3EhQuKMQWqxAXYsN1Pfroo2XevHny7LPPyjvvvCPMNMAFTVUhrhFZnC4o+5oaIWBEViO4ql/ZqQV1sqC4oI8++qjqzGj82LNnT7XAHFezsmcnC0pMzRHi0mNt2LBh8stf/lJLsN544w11c6vfI3fXMCJzF2/bWjkCRmQJvhJwCSlwR6+GpfbMM89oXzQIqaysTNsR1VSI26lTJ/0ssw1mz56t4l4SBmwj2XMLjMgSfEHZ11eKgBFZpbAk9k2sNQrQIZ+77rpLhbj9+vUTZBrNmzevsRA3Ly9Pfvazn6kQ9/nnn9eYXbQLitvr1mJE5hbStp1oBIzIotFw6bWTBcVac7KgjMHDBZ0zZ47qzagFrS5R4LigJAyIvVELSreP/fffX84880xZuHChMJQFi9CtxYjMLaRtO9EIGJFFo5Gk1w6xQThkQQnqP/fcc5oFpT8a1hqBf5IFsQhxnVrQjh076mfp03bttddqZpWyKWYXJKodkRFZki6iNN+sEVmKXgCQG5lJMpQkDFasWCGTJk1SeQYtu3EnIbZYhbjUjUKGxNUQ4iLtoHKBwSyIfbEM47EYkcUDRfuOmiJgRFZTxFxcHzLjgQsKqVE65WRBkWTQ+BEXFNeysuxn9Hu4oY4LSumUkwU98cQTZcGCBUKftXho1YzIXLxAbFN7ETAi2wuFN15ANhAayQK6dmzevFmbR/7qV7/SoSzEyLC+IK5oIqv42hHisi7dPkpKSrRIno64ZFZxQbEGa5oFNSLzxnXkt700IvP4GcViI94F6RBbo9MGQtwBAwZoV1yyoIhrYxXi4q7igpIFnTt3rhbNb926VT799FPdBttim1UtRmRVIWPvJxIBI7JEouvid0e7oE4tKOPubr75Zp02Ratv4mkVLbOKf0e7oCQNaEfE+L3TTz9dXVDKsXBzq1qMyKpCxt5PJAJGZIlEN4nfjUvo6NUYnEKXDTRruKBkQXEnEeJW54IiAYEA6YjLZ+j6QecOXFBaHOHeIsR1FiMyBwl7dhMBIzI30U7ytiA2MpTEv+68805t802BO9ZaixYtNLa2L3mHY73hphJbo36ULOh1112n0g5cUCa501CShIKzPmQ5c+bMJB+9bd7PCBiR+fnsVjg23M9oF5SkAR1xsaxuueUW7boBqVVnpfF/Hk5LIicLCinS6puhydFurBFZhRNhf8YdASOyuEPqnS+E1BwXFPeQkikGEzNDNFqIS+vufVlqDqkRU4PUeERXJfD/GTNmaB+3eEg8vIOw7albCBiRuYW0R7YDuZGZRP0PsS1btkxrQem8QecOsqCOENdxHWN5xlqbP3++MGnq9ddfV0swnkJcj8Bru5kgBIzIEgSs17/WcUEhNUqnSBjggiKenThxosbVYiEwZx0sNCw2hLhkQZF34M7+9a9/9TpUtv8pgIARWQqcBC/sAi4hhIYVRXXBli1b5J577tEsKF1tkWlUN/AYUkOIS/wMdxVSw8pz2hHRuQPCxBqsqRDXCxjaPiYOASOyxGHr6292LDZG6KEtix52TNkUWVBn2hQxMscyq/jM/4i/ObWgjOC74YYb5LHHHlNrjVpQxL7VCXF9DbYdXLUIGJFVC5GtsC8EnIQBIlmEuOjIaMu9aNEiFeLSYw25RkUCq/i3kzCA1BwhLno36kmJraFXg8xsMQQqQ8CIrDJU7L1aI+BkQXFBkXagLSNhwFxQ6jkR1WKpVSSyin8TU4MAWRcXtKCgQMaOHfsjIS71prYYAiBgRGbXQcIRcNoROUJc2nwfeOCB2rkDF7S6PmsOyTlC3JYtW2pcjeoCXFCaRzIXFPJkW1iJtqQXAkZk6XW+k3a0jgvqZEEpQqd5JC4o4+8YhecQ1r6eK7qgrVq10gnwfAcZVXqsmQuatNOctA0bkSUN+vTdsENqTskUbb6xqnBBEeL2799fO3CQ2dxXrzWH1MiC4oJCavn5+SrtuOaaa7R5JFYgsTsT4vr7ejMi8/f59czRQW5YUmRBCexT4I4LevDBB+sUdzriQlbRpU9VWW4kDJCCkGigZIomlOvWrdM6UEiT2Fq8OuJ6BmCf76gRmc9PsNcOz7HWHBeULCj6Mqa4n3LKKXVyQfv27audO2666SZhLqgt/kHAiMw/59KXR4JLiPWESJYs6Ntvvy133333XiEuWdBYhLhkQR0hLgkG5h4wxZ3OHRAl5VgmxPXuJWRE5t1zl5Z7Hu2CQmqLFy/W0XcHHXSQFBcXCxlNXFDcS2JoVbmf/I91iMPRERchLlnQhx56SOcXOENZsAzZpi2pjYARWWqfH9u7KhCIdkGddkQ0j6Rzx6mnniqMwoOoqiIy530nYcC6WGwkDCDE8ePHay0oJVOWBa3iJKTQ20ZkKXQybFdqjwBCXEevhjVFhw2aR06bNk3KysqkU6dOaqk5BFbVc7QQF1KjFhQXdNasWapZoxzLhLi1P0+J+qQRWaKQte9NKgJYbBAbca9t27YpqVFd8JOf/EQtrpoIcR0XlAlVFLjT7fbBBx/ULKgJcZN6mvdu3IhsLxT2wo8IOC6okzSAeF555RVZunSpnHDCCQI5VWWdRb+PC8rD6d4BEeKCOgOPIUvTqiXvCjIiSx72tmWXEXBIDUuNciY0ZfRDwwU955xzZL/99tNsZqxCXKcW1BHiHn/88YIQ94knntCOIGjirB2ROyc55YiM4CpTeuiAEP2LyC+oLYZAvBGA3Ajmo/5nLiikRnXByJEjtcgdy4ssaHUdPBxrDSkI0g4aRyLtuO+++zQLakLceJ+5H39fyhHZm2++KUOHDv0fBTc1efbr9uOTZ3/FDwHHWsM9pIEkCQMmQlE2RUfcmrigJAycSe5UJDCMhc4dCHFJFtgSfwRShsgwwxkoi3nODEUuhmiLjHT6rbfeqhOvcQ1sMQQSiYDTjihaiLt8+XJ1QZk/QJF7rEJcrDncVTRu1IJSNjV79my93tHC0TjSfqTrdjaTSmSOWb9jxw5ZsWKFWmJ0Cg2FglIvIyjNs0OS3Tgk4VB5i2R+3aZPn66Tfuzk1+3E26drhgDXKtYaLijkQ8kUWdDDDjtMevfurSTFwGMynLiZ0T/C0a8dF5RJU/w4H3fccRpXW7t2rV7XVC8QvzMhbs3OT1KJjAsDE/7cc8/VCwFznBOdEQlKz44RmXVmSKb9LCJZjUISDAb0f1wATPSB+Kzwt2Yn29auOwIQmkNquKD8CNM8cuXKleqCtmvXLmYhrkNqWGxMp2KmKNYaHXEhNMuCxn6+kkZkO3fu1JbIBPaZWO2QWJvckBy9f0TWzw7Iu3cF5L1lAVlwQVD6dotI/cyghIJB7e/Or9kVV1yh/afshMd+wm3N+CKAS4j1hIfAjzLtiLDWzj//fDnggAPUlaRxZLRVVtlrQilYc6zrCHEhNUezRpG7CXGrPneuEhm/ZFhRZCYJfPbp00ezk+FQUEmqR4eI/N9JIXnzjoDsWRuQbx4MyNcPBOSLtQFZ/buAjN0vIrlZIcnMKNfz5OTkyMknnywbNmxQ4aOVklR9ou0/7iDANc516AxlIQt63nnnyejRo/dmQSErfrgrIzTnPcdaIw7HjzY/+L/73e9k9erVmgWlMaW5oD+cU1eJjF8v2rKQBSLw6QT0MyPlFtfaGQH59N5y8oLEoh9f3h+Qt+4IyOUnhqVdXnkiQN3QjAwVJtK/ihNriyGQCgg4LijXPMkpPBC615Iw+MUvfiHEex3S2tcz1zgP7hVqQZs1a6ZW3hFHHKEdcRnNZ4kCl3r24/rt2rVLf02YgUhQlLgAsbC2zUMy+acRef32gOz4S0AgrGgCi379xX0BeX95QJZcGpBBvSLSsD4nOChO4PSCCy5Q096ymqlwK9s+OAhAatEuKPEvhLgUuFMLSvNI4mNkNp0f98rIzSE0xwXFGECzRqZ/xowZ8vDDDwvyJRIS6UZuCbfIMLFpN/yHP/xBO306JnWjBkEpyQ/LNZPDSmK4kNGkta/Xn68OyMZ5ATnhJxnSOjckWHQkA3A1McHvv/9+/QW02JlzK9lzqiEAuXF90rkDbVm0C0rIxWlHFKsQlx9zR9px7bXXyqpVqzQLigeUDh1xE05kzDgcNWrU/2jDRg2KyDM3BWTn6spdyX0RGf/Dcvvk7oASYatm5RINx9Wk2R6qan6ZuGBsMQRSGQHHYiN+7LigNI9kpieEVpl1Vtl7jsUG+TVt2lSttZ/+9Kcaj6Z9uJ+XhBAZZi0nhOzNgAEDtMQDSwxtWPu8kJw/LiyvLgoIltVXNbDEKpIbn/1wRUDuvzYgh5VFJDcbmUZ5wzxKS2iN/OKLL2pGyc8n0Y7NPwhw7xAacYS4uIrEf8mC0jyyW7duGkqpjMii38NFhdAcIW6PHj20bArPiOaRZEHZhl9+6ONKZJwErCBS0Egj6LwJmAha0YINLY7InLND8vHKgHy1j1hYRcKq7u9dawLy7M0BmXpMRNo0D2nsjdgZNXKHH364djr4/PPPTZfjn/s9bY7EcUHRrEFquKDE1bC0GHiMVCPWjrhqTNSrt3coy1VXXSX33nuvbN68WaUjJMtwd71IbnElMsDeuHGjupIUfWMd8SvRoF5Qjh8RkafmlssqahIPq47EnP/znWQ877k6IF3ahCUSLhfQ8svUpk0bFd0SK/DiSUqbu9YOdJ8IcO06FtsXX3yhcwaIhZ144olKaE78Odoyq+y144KSNKAcEIODWtCFCxeqwJdteG2JG5HROeDGG2/UAll+IQALS6ygY0RmTArLO3eWZyUd4knEM1beZ6sC8tCsgIwenKGuZigUUKuQtPWRRx4pTz/9tAZYjdC8dqna/kYjwPUbLcSlwH3JkiVawnfooYdqFjQWIa4TinGEuAUFBVo29fvf/17WrFkjW7Zs8YQQt05E5riSNKo788wztcyCX4VIOCiNGwRleJ+ILL2s3FKqSyyspqTHtjbfGpDp4yNa6oRFqMQaDsuBBx4ot99+u6C/wYK0xRDwAwIQG24hKgH0asTVLr74YrW0SktLxemIW53V5lhrZEGZC8qPP6RGTC2VBed1IjKIgCZyRUVFqtAHBEzZJg1DKo14a+m+dWE1JaiarO+4mvdeHZD+3SMSCgZ033A1yQSdddZZOgjWDxexHYMhEI2A44JCPIRT+NGmNpmOuHhLlbmblb3nkBr3C5U4lGGl6lIrIiNNDOvTDZN2Jk48jFrIsoKIzJkalL/9OSAIWL+uoNCvCRnVdV0kGriam+cHZOJhEcnLKbcWnfT0iBEj1Hy2ThqpennaftUVgWgX1BHikjAgC4osiuEq1QlxKWifO3duSlfO1IjIAAWGf+yxx7TGkSA6RdzUSiJ9OGpYRNb8vlzfVVcSiufncTW33RWQKyeGpWeH8ooABLSUfPTq1Ut7QyEchKA5RlsMAb8i4FhreFMIcSmZuuiii4SSJ0eIi1vpeFdYar4iMgBA30J8CS0LJKCmZzCgPcMunhDWThX7KjGKJznV9LtwNSk+f/S6gOxfEpGMcLmryTFw4qh/g8y8mLHx601nx5VYBLineThJAypwEOISKiKj6bibviEyyiiYE3jhhRdqqtZxJdGGDewZkdsuCcoHy7+XViTRlYyF3JBovPyngJx3XFg6tw4LWU3IDCU0LbYR8TJpxxZDIJ0QcAwV9JZoL/lx9w2RkQVBoU/tIsMU8KW56dFoUeNI3OnBmQHZuSb2OslYyCbR62A1UhEw75zymB5ZTdxjCJqYwW9+8xvN0pirmU63sh0rCKD2x83kXvcNkXFQc+bM0Zqt6Kr8Jg2DMnNKSDtRJELcmmgic74fQnthfkB+0j9DO2lw4hxXk3IQKhSsk4bd4OmEgG+IzDExn3vuOTnttNM00IeZicWCK0lN49prygP6ZCUdUvDiMxlVitap+7z45xEp6lxeEQBpMzugf//+snjxYp1/aLGzdLqd0/dYfUFkuFK7d++We+65R+f60Z0SCwXXi2aGZ4yNaPscLJlkyioSQZofrQzIHZcG5KC+GZLdKLQ3dka/J2YKvPDCC6qjgehtMQT8ioAviIz2uTRoo5wn2pXs1Skid15edffWRBBLMr4Tgv5gRUBOGRXRTh1INHA3sUj79esnjz/+uBWe+/UOtuNSBDxPZEyBodMkKl5Sr9zEuJLjR0TkkT8GZPs9yVPpu0VqWJmQGQNPrp0Skt5dw993oQ0pmdE7nXINZg5Y7MzufD8i4HkiI1uHK0kpDwp9OkhcMiEsWxaXK/TdIpNU2Q7EveKKHwaeUACPm83EaSoacMFtMQT8hoDnicxJtWaEg5LfNqw3sZuF3qlCYNH7QUaWGQFXnBwWWnOrlZqVJb/85S81AeC3i9iOxxDwPJEVFxer+0QX14P7ZshLC7ydkYwmpLq8pmkjWdoWTcsL4lu3bq3N7VK5gNZuR0Ogtgh4nshQ7RPkZ5AHwX1Gs9WFAPzyWSoB0MxB8FithYWFmsG0GFltbxX7XCoj4HkiW7dunaraiZER5L/urJAR2YMBnfA0ejC1meVENmzYMKE7p8kwUvl2tH2rLQKeJzIq4Y855hgJBgLa2fX0MREt4yGL5xfrqjbH8fAfcSvLpzTl5ubqtGdryFjb28Q+l+oIeJ7IGBpCjaEjgh1SmCHP3RyQ3R5X79eGvKI/c/lJERUEE+hnbiDj7VK5U2aq3yi2f6mNgOeJDHhp4YFWCh1Zy6Yhue2ixPfZjyaNVHxN4sMRxk6cOFGby5lbmdo3o+1d7RHwBZFt3bpVZ+ehZG9UPyjHDc9QIWwqEkyi94kaTOZl9ugQ3tsFYP78+SqENSKr/Y1in0xtBHxBZPQiolskE1Vo1dOhRUj+uqi8z1iiiSPVvp8p5pf+Iix5OeUDfxnEQCG9kVhq34i2d3VDwBdERpxs7dq1OusOqQFDROafF9J5kalGNInen9cWB1RPR5UDnTDox7Zt27a6XSX2aUMgxRHwBZHRSHHHjh3avoYmgw3rB2XCIRk6kzLRxJFq379xXkA7yFKa5LT6tbKkFL8LbffqjIAviAwUUKwzYYXWz4hAB/SIyOPXp5cE4/PVAVlwQVCJHDlK9+7ddbAvbY5sMQT8jIBviIz+/A8//LB2hcUaadkspDd1qllMidwfRtmdNDKiVQ4Uig8ZMkQtVYuP+fkWtmMDAd8QGaU3b775pg4gQHaQEQnKWUdlCMHvr9JEHPvknIB0bRtWYTCWKQkQCN4WQ8DvCPiGyGjpjHs5ffr0vSPftIj8T+nTzueayT90uyBbSUNFE8H6/Ra24wMB3xCZczoXLVqkTRbD4bBOTKI3F7GjRLp0qfDdlGSNGZKh1hiZ27Fjx2rvMevZ71wZ9uxnBHxHZM8884yUlpaqVcbUpNNHR3wvw6BlD4mNwk7lHXIhslmzZqlbafExP9++dmwOAr4jsk8++UQmT56s8+1o7UPM6P1l/m53TVfY354WklbNQoIlmpeXJ0888YRNH3eucnv2PQK+I7JvvvlG6OOflZWlJTpMFrr7Kn+7l2/eEZAjhmZokTgDSseMGSNvvfWW7y9eO0BDwEHAd0SGOPbDDz+UoqIidS9p9TztZxH5YLl/42TP3xKQgo7lvcdo2TNz5kydtO6cZHs2BPyOgO+IjBP25ZdfyhlnnKElS5TqDOsdkU03+pPIKBJf/pvysiyaSzLPcv369WK9x/x+69rxRSPgSyLDvVyxYoW0a9dOi8gZ0rvkkqAvM5fb7grIlCN+EMGWlZXZhPHoK9xepwUCviQySnJefvllGT58uPbkomRp+vHl2Uu/TVjaeGNAenaIqOwiJydHpk6dKhTRW7YyLe5fO8jvEfAlkREno7XP6aef/v3Q3qCMGpShsy73rPWXi3n9r0KCzAS3kuaSDzzwgA3htds77RDwJZE5Z/GGG27QOFkoFNKOEA/NCgiaq1QQsMZjH75cG5BjD8yQyPcDRg444AAlcBPBOleAPacLAr4mMrRUBQUFmr1s2iQkl5wQls9W+YPIdq8JaAKjND+8t6X1JZdcoqUa5lamy+1rx+kg4Gsi++ijj2TcuHE6mITsZVlB+YQlPxSRM7fyhrNDQiIDESzxMbp/UFtpROZc3vacLgj4msgoIl+yZIk0adJExbE5jUPy6Gx/TFgiWznhkIj2HmNWwYgRI+T1119Pl+vWjtMQ+BECviYyrBPaPKOtYsJS4wZB7Wf/0Urvu5cv/ykgA3uWyy5o2XPllVdq77EfnV37wxBIEwR8TWScQ6ZrT5gwQVBJBzIAABTqSURBVPvX417+ZEBEXlrgbSIjYXHfjIBgYYZCAenUqZNmK633WJrctXaY/4OA74mMA7zpppu0tQ8Tljq3Dsuy33ibyN5fHpDzjgtrS286wfbp00fefvtt6z32P5e3vZEuCPieyCjV2bRpkwwcOFCze1hlV5wcFkp7vn7Am4T2wi0BIVsJMTMC76STThKqGSzIny63rR1nRQR8T2SIY7dv3y4nnniiZvewYI45ICL0t6cZYTz0XG5/B6Pu6OqBCLZNmzayYMECsQEjFS9t+zudEPA9kTknk44QWC+IY4u7hOXpuQFBi+U2CdV1e1iRp42OSGZGUC3MAQMGyHvvvScQti2GQLoikDZEhsaqW7dukpGRIbnZIblmUlh2/MVbRPbF2oCWWaGHwxqjE+y0adO024ep+dP1FrbjBoG0IbIPPvhAGw42aNBAGxDuXxKRj1cGxEtF5FQlLLk0IF3ahNVNponiqlWrtLbS4mN2Q6czAmlDZHv27JFbbrllrziWkqUN87w1YYls5ZljI5LVKCRMVB86dKi88sor6Xz92rEbAopA2hAZ4ljaP7ds2VLjZE0ahuTqU0M697KucSu3Pv/abQHZr3dEZRfZ2dk6WZ0ZBbYYAumOQNoQGSd69+7dcthhhwklPQ3qBWX04Az56yJvxMl23xeQx64PSF5O+QBemkYym4ATaIshkO4IpBWR0QL7t7/9rTRv3lwnkfdoH5FVvy3Xk5ENTOXHhysCcvmJ5dYYEhK6erz00kvWeyzd72A7fkUgrYiMEh6mbzP3MhgMaMH17yeF1b1kpBodJVL1sXl+QAb1iqgIFoty9OjRNoDXbmJD4HsE0orIiJO9//77cswxx2icDPlCx5ZhGVoUkaHFqf2gnTVBfmQXLVq0kOuuu85EsHYbGwLpSGTOWb/qqqu0RxniWNw0rz2wKLdu3WoiWOeE2nPaI5BWFplztlevXi1dunTRaeTIGLz2YJI6XT1MBOucUXtOdwTSksg+/fRTmTFjhlxwwQVy7rnneu7x5JNPqltpIth0v33t+B0EHCJD8E7IiAdJvblz52rli7Neqj0HUm2HbH8MAUPAHQT4AccbIeb9z3/+U3/Ud+3aJYcffriGjBwiy83N1Vjyzp07dT3WpyaZz6aKEWBE5s41Y1sxBFIGAQgI4qKF/WuvvSa33367zJ49W8455xw58sgjVezO/AqHyKirJp581FFHCYN55syZI4SV3n33XZ39Cqklm9CMyFLm8rIdMQQSgwAkA3Gh/2SQEOS1cOFCOfPMM6WwsFAQhefl5Wn3ZxJ3DoFFP5PIo809czuo6iE2PnjwYLn44otl7dq18s4772iLePr5YbG5vRiRuY24bc8QcAkBCAxrCd0ntcSLFi3SaWgMoHZIKhgICA/kSGHIqpoH67Aun+E7HILr27evktqaNWt0vgd9/dxMohmRuXRR2WYMATcRgMS+/fZbnQg2depU6devn1pSjRo10hZckFAoEJDMUFAaR8LSrVEDGZzTRMbkNZMzO7SRszu23fs4q0Nb+UWbFjKqeVPpm9VY2tbPlEbhkJKeEmEwqIoF6pZpUDpy5EiZN2+eDrnGEnRjMSJzA2XbhiHgEgJYYGQeiV/dfPPNMmzYMMnKytJ2VVhSEFd2JKJkVNSkoZzStqXc2Ctf7i7tJff1LZSH+xfLUwNLZEPZD4+nB5bI4wN7y7p+RbK6T6GsLCmQS7t2kKNa5Er3Rg0kLzNDGofDe4mNihncz1GjRsn69evl448/FlrlJzKOZkTm0gVmmzEEEo0Artznn3+uTRDGjBmjnZzV/QsElGSaZ2ZIWU4TOa1dK1lY1F2eG1QqLw/pW+vH5sF9lPiu7tZJjm3ZXAobN5R6oZC6qI7rSfxt0qRJ8sILL6iLmygyMyJL9NVl328IuIAAlhhlg5deeql06NBBReqRcFhJpUkkLIfk5sj1BV1lTd9CtbggsRfrQGIQ4EtD+gpktqmsVB4b0FtWlBTIr7t0UPczMxRS15WMJxZh//79NcFAwiERsTMjMhcuMtuEIZAoBLBwkFG88cYbOneW+mGsIYL2TTMiUprVWH6T31HdwucH91HyqYsVtq/Pvji4r7qky0sKZEKbFtKhQT3JipSTKRnPzp07q7CW3n/xnh1rRJaoK8y+1xBIMAKQGLGnRx55RLu4EMh3SKx9/XoyuX0bjXu9MLhPrd3HfRHXvv4HaS4u7iHHtGwuWZGIWoahYFBycnJ0PsaWLVs0oxovV9OILMEXm329IZAIBCAArBr0YGQkITFErPVDIendpJHM65UvTw4sEUgMF3BfpJOI/7FN3Nf7+xXJuZ3aSU5GRK1E9rFp06ZqPb766qtx6zxjRJaIq8y+0xBIIAKQGLGmdevWqaCVukj0XbhxQ5pmya1F3eSZOgby40VuEClZ0Gt7dJYuDesr0SL7gMzGjRsnDDPCqqzrYkRWVwTt84aAiwhAYijnN27cKIcccojWRJaTWESObJGrMop4kVC8vgfrDEIj2TAgu7FKQHCBsSLPP/98nSdbVxfTiMzFi9A2ZQjUFQGyk9u2bZPjjz++3J0MhSQ3I0NObttS1vYtqrOkIl7kVfF7IDOym8tKCqQ0q5FaZriZlEZdeeWVQkE6x1bbxYistsjZ5wwBlxFAJb9jxw6hjx4EgFXTIByS4bnZsqpPoTw3yP2gfkXCqu5v9nFhcXfp0aiBxsxIADA3Y8WKFZp9ra00w4jM5YvRNmcI1BYBppcxU7ZVq1Z7s5N9sxvLwqIergfzqyOsqv5fngToI5fnd5QWmRka28vMzJSSkhJ1l6nRrM1iRFYb1OwzhoDLCGCpPP/880JxNp2YM0JBtWoWFHZPmcB+VeRV8X3I7JH+xXJOx7aCWDcSCmkVAsF/RL21WYzIaoOafcYQcBEBSGzPnj3aXQLrhVY7retlymVdO8jGsrqVGVUkGbf+JvhPNQA6MyWzSEToynHHHXdoy6GaBv+NyFy8IG1ThkBtECA29uijj0pxcfFel3JU82aqE0NN7xb5xHs7xMv+3LunULxOOyCC/yeccIL2TKtp4N+IrDZXln3GEHAJAawxYmNHH310eZYyGJTczAyZ2ytfIDHctHgTjFvfR63nhrJSLWKn2JzAP1bZXXfdJTRorMliRFYTtGxdQ8BlBGjJQ7NC6hS50bnhT2rbUtYP6O1ZAosmSoh4UVEPKWzSUON+DRs21NZDdLKtSadZIzKXL0zbnCFQEwRQvk+ZMkVbTFMITiE2Wqy6dq6IJpNkv0b5P61TO2kUDqvrTLeMJUuWqBwjVqyMyGJFytYzBJKAwEsvvSQDBw7UTCVB8eNaNZdHfWKNOQRK4P/BfkXSs1FDyQgGtQXRySefLNu3b48ZcSOymKGyFQ0B9xAga0eQ/+6779YyJDKVWGOzenbxnNzCIax9PZN9ndi2pWYwkZcgM3n22WdjBtyILGaobEVDwD0EIDIKw+m373R5pbTnof7F2sxwX6Tgxf/RKeOmXvnStn49zV7SKpthKbHKMIzI3Ls2bUuGQMwIID+gAeGQIUM0bkSv/XGt8pTEvJyprIpkcS9X9y3U7h1IMegse8EFF8Q83dyILOZLy1Y0BNxDALfyzjvv1LbVtL2hRc9vu3fyRaayMjIrl2KUaEaWpAZ1pAwvoQFjLIsRWSwo2TqGgMsI0KNr2rRp5ROQgkHt5cWko8pIwE/vXZHfSZswMvEpPz9fHnjggZiQNyKLCSZbyRBwFwFmUg4fPlyne2OhjG2RqxOL/ERalR3LzYXdpHPD+toZo3Xr1lqyFAvyRmSxoGTrGAIuIoCaf9euXTJgwAAN9FMgPqV9Gy1Jquzm99N7aORo1c0x5+bmymWXXRYT8kZkMcFkKxkC7iGAon3r1q1aW0nGEjX/jO6d5dkUaV+dSOJc169YA/4cM8JYai9jWYzIYkHJ1jEEXESAnlwbNmyQbt26qUVWPxyS24p6aG1lIkkkFb4bsS8dMRiiQivsQw89NCbkjchigslWMgTcQ4BA/5NPPqnBbjKWTAjH5UoFokn0PjD5aVK71tIwHJL69eurMDYW5I3IYkHJ1jEEXEQgmsgYLIKif2UaZCwhyQ1lJXJJlw5ad4nCn86xsSxGZLGgZOsYAi4iYERmRObi5WabMgQSg0A0kaGnalMvU1akiWtJJwwG+jquZWlpaUwgm0UWE0y2kiHgHgIE+5966imNkaFwp+vF0t49Pd1EMdbYGu2vx7fO0+lQDB4eNmxYTMAbkcUEk61kCLiHAPKLN95440fyi2t6dE7ZmZWxklQs6z3cv1iGNctWyUmTJk20M24syBuRxYKSrWMIuIgAgtgPP/xQM3YUUFMwfl7ndvL0wBLfZy4pw+qbVT6NvFmzZjJ9+vSYkDciiwkmW8kQcBcBp0SJgRyUKB3fOk9HqMVi1Xh5nYVF3aX798N7aeUzb968mIA3IosJJlvJEHAXge+++04mTZqk8x4hsj5ZjWVN30LfW2Qze3SRlt8P7m3Xrp2sXr06JuCNyGKCyVYyBNxFgIA/U8XbtGkjZC5zMiJyQ0FX3xIZPdaeGVQqk9q3ksxQSNv4HHzwwUKr71gWI7JYULJ1DAGXEaCx4uuvv753liW1h6e3b+WroSPRLrDTt39Ebo6WZdHae/LkybJjx46YkDciiwkmW8kQcBcBAv5ffPGFnHrqqeU3djAgA7IbCzqrFwf38Z1lxrDeJcU9tO8aJJaTkyPXX3+9xDqo14jM3evTtmYIxIQAvepxL//0pz9pTzKyl10a1hf6ddHfPtqa8cPrTWWlMq1jO3WhaXNdUFAgjzzySExYsZIRWcxQ2YqGgPsIbNq0STp16qRk1jQjImd0aO27vmS0uX5iYIn0y0Z2EdKpUWPGjJFt27bFDLgRWcxQ2YqGgPsIvPPOOzJ+/HhtaUOzQSYp/aVPoa9iZYyCu7ZHF51LQLcPhLBz5syRPXv2xAy4EVnMUNmKhoD7CHAz417S9jmMtRIOyYWd2/vKKltZUiD7Nc1Sa4yOF8XFxfL222/rXM9YETciixUpW88QSAIClCt98MEHghSBmxxNWY9GDTQw7vWxcOw/Qf6LurSXrEhEQsGgNG/eXGbMmCFfffVVjdA2IqsRXLayIeAuAgT96YaxZMkSad++veqr6J7KjEtIwMtk9jyzLPsUyv7NsoW+ayQ0DjvsMG3zzTi8mixGZDVBy9Y1BJKAABKEzz77TCZMmKBBf276rg3ry9xe+Soi9WLWcvPgPiol+VXHtpqppBQLa2zWrFlCeRbyk5osRmQ1QcvWNQSShABktm7dOh3YG4lEtF/XkKZZGvhHTOolMsOKRG5BOVLrepkSCQU1U3nIIYfIa6+9ViuEjchqBZt9yBBwFwFcTDpiTJ06VbKzs7VsiaEkh+c1k/v7FXmGyCAxiBc9HMXhZGIh5hYtWsiaNWvk66+/rhWwRmS1gs0+ZAi4jwCF5K+88oqgsWJUGjWYWZGwnNK2pawfUKwEkeqWGXG95SUFMjy3vOcYmdi2bdvKFVdcIbt3745ZyV8RfSOyiojY34ZACiNAEByRbFlZ2V7Ff5v6mTqw44mBvYXYU6qSGcH9h/oXqxUJAVOK1LhxY5kyZYpam2Roa7sYkdUWOfucIZAEBHAxCYYTL+vevbtkZmaqJKNVvUz5v/yOsn5A75QkMgj23j69ZExeM52QRMKCcW8jR45UKxMS49hquxiR1RY5+5whkCQEuOHJYs6dO1eD/w6ZETg/pV1LoctqqkgzXhxcHtifX9RNDs3NUVcYEmP4LlYlswlqGxeLht+ILBoNe20IeAQB5Ak7d+6Uyy67TPLy8oRCa3RY9C3D6rmntJc8O6hUp5MnQ2vmBPWfLiuR6wq6SkHjBkJyAncSSwwSu/fee9W6jAfkRmTxQNG+wxBIAgJIMmj1s2DBAnUzUf5j7VDG1LtJI1lQ2F2LsZMRN2ObD/Yrkumd20u7+vV07gDKfWcy0vr162ulF6sKZiOyqpCx9w0BDyCAZUbzwWXLlslBBx2k0gxGyGH9dG5YX37euoVKHR4f0Fuzmom0zvhurMD7+hbK1d06yWHNm0peZoZkhEKSEYlodpL+anR9rWkJUnWnwoisOoTs/4aABxCgjOmZZ57R8WnEn3A1cePQaaHXmti2pQbbN5SVaPwMLVddSY3P04KH74LAaPpILGx0XjMlMKxDx5VkkMjll18u7733ntQlO1nVqTAiqwoZe98Q8BACJAAgs7feekumTZsmXbt2VTcO64xC80bhsHRr1ED7mS0u7iEP9CvSBo11ITMIDPKirdAfe3bV2BwxOmpBITG2TadX4mE33XSTxvTqmp2s6pQYkVWFjL1vCHgQAchs+/btsmrVKu15T6dVLLTI92Pl0G91aFBPDsrNltPatZKrunWSP/fuKQzGZco3xER/MCwsMp88eI0l9+TAEpV3MM3p1qJu8uuuHeS4VnkyOKeJtKyXqWVTEBhZVAhs0KBBKnR99tlntbdYIiwx5xQZkTlI2LMh4CMEiJ198sknct9992lHCYbdEmiHZHD3sJYIvudmZkhRk4baD2x86zyZ1qmtXNa1o9xa1F0WFvXQB8XpvIe04+iWzaUsp4nkN6yvUopAIKDZUoq+STZAmvn5+XL++efL888/X6PmiHWB34isLujZZw2BFEYACwjxLDKNlStXyrhx46RXr16Sm5u7l8ywoIijMaWJbGfDcEjd0MaRsDT5/sFrXFP+h9tIO2rcVUqkkHwQj6PMaMCAAWoFPv744/Lll1/qzIGadrGoLZxGZLVFzj5nCHgEAcgE0SlF58geiFedddZZMmLECI2lYa3RXhqLjQJuyAlLK/qBFYc1h8VF0TrataKiIjnyyCPloosukjvvvFM2b96sQl3I0+3FiMxtxG17hkCSEXD0Zy+//LLcfffdcuGFF8qxxx4r+++/f/lA4FDoRyQGsUFytKCG/CZOnChXX321TjkiuQBx1aW8KB5wGJHFA0X7DkPAEEgqAkZkSYXfNm4IGALxQMCILB4o2ncYAoZAUhEwIksq/LZxQ8AQiAcCRmTxQNG+wxAwBJKKgBFZUuG3jRsChkA8EDAiiweK9h2GgCGQVASMyJIKv23cEDAE4oGAEVk8ULTvMAQMgaQi8P8rCMPGZ1RQQAAAAABJRU5ErkJggg==[/img][br]Jada says that the weight of one circle is greater than the weight of one pentagon. Write an inequality to represent her statement. Let [math]p[/math] be the weight of one pentagon and [math]c[/math] be the weight of one circle.
A circle weighs 12 ounces. Use this information to write another inequality to represent the relationship of the weights. Then, describe what this inequality means in this context.
Here is another diagram of an unbalanced hanger.
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[/img][br]Write an inequality to represent the relationship of the weights. Let [math]p[/math] be the weight of one pentagon and [math]s[/math] be the weight of one square.
One pentagon weighs 8 ounces. Use this information to write another inequality to represent the relationship of the weights. Then, describe what this inequality means in this context.
Graph the solutions to this inequality on a number line.
Based on your work so far, can you tell the relationship between the weight of a square and the weight of a circle? If so, write an inequality to represent that relationship. If not, explain your reasoning.
This is another diagram of an unbalanced hanger.
[img]data:image/png;base64,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[/img][br][br]Andre writes the following inequality: [img]data:image/png;base64,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[/img]. Do you agree with his inequality? Explain your reasoning.
Jada looks at another diagram of an unbalanced hangar and writes: s+c > 2t, where t represents the weight of one triangle. Draw a sketch of the diagram.
Here is a picture of a balanced hanger. It shows that the total weight of the three triangles is the same as the total weight of the four squares.
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[/img][br][br]What does this tell you about the weight of one square when compared to one triangle? Explain how you know.
Write an equation or an inequality to describe the relationship between the weight of a square and that of a triangle. Let [math]s[/math] be the weight of a square and [math]t[/math] be the weight of a triangle.
IM 6.7.10 Practice: Interpreting Inequalities
There is a closed carton of eggs in Mai's refrigerator. The carton contains e eggs and it can hold 12 eggs.
What does the inequality [math]e<12[/math] mean in this context?
What does the inequality [math]e>0[/math] mean in this context?
What are some possible values of [math]e[/math] that will make both [math]e<12[/math] and [math]e>0[/math] true?
Here is a diagram of an unbalanced hanger.
[img]data:image/png;base64,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[/img][br]Write an inequality to represent the relationship of the weights. Use to represent the weight of the square in grams and to represent the weight of the circle in grams.
One red circle weighs 12 grams. Write an inequality to represent the weight of one blue square.
Could 0 be a value of [math]s[/math]? Explain your reasoning.
Jada is taller than Diego. Diego is 54 inches tall (4 feet, 6 inches). Write an inequality that compares Jada’s height in inches, [math]j[/math], to Diego’s height.
Jada is shorter than Elena. Elena is 5 feet tall. Write an inequality that compares Jada’s height in inches, [math]j[/math], to Elena’s height.
[size=150]Tyler has more than $10. Elena has more money than Tyler. Mai has more money than Elena. Let [math]t[/math] be the amount of money that Tyler has, let [math]e[/math] be the amount of money that Elena has, and let [math]m[/math] be the amount of money that Mai has. [/size][br]Select [b]all [/b]statements that are true:
Which is greater, [math]\frac{-9}{20}[/math] or -0.5? [br]Explain how you know. If you get stuck, consider plotting the numbers on a number line.
Select [b]all [/b]the expressions that are equivalent to [math]\left(\frac{1}{2}\right)^3[/math].