IM Alg1.2.21 Lesson: Graphing Linear Inequalities in Two Variables (Part 1)

[size=100][size=150]Here is an expression: [math]2x+3y[/math].[br][br]Decide if the values in each ordered pair, [math]\left(x,y\right)[/math], make the value of the expression less than, greater than, or equal to 12.[/size][/size][br][br][math]\left(0,5\right)[/math]
[math]\left(6,0\right)[/math]
[math]\left(-1,-1\right)[/math]
[math]\left(-5,10\right)[/math]
Here are four inequalities:
[list][*][size=150][math]x\ge y[/math][br][/size][/*][*][size=150][math]\text{-}2y\ge\text{-}a=4[/math][/size][/*][*][size=150][math]3x<0[/math][br][/size][/*][*][size=150][math]x+y>10[/math][/size][/*][/list][size=150][br]Study each inequality assigned to your group and work with your group to:[/size][br][list][*]Find some coordinate pairs that represent solutions to the inequality and some coordinate pairs that do not represent solutions.[/*][*]Plot both sets of points. Either use two different colors or two different symbols like X and O.[/*][*]Plot enough points until you start to see the region that contains solutions and the region that contains non-solutions. Look for a pattern describing the region where solutions are plotted.[/*][/list]
x≥y
-2y≥-4
3x<0
x+y>10
[size=150]Here is a graph that represents solutions to the equation [math]x-y=5[/math][/size][br][br][img]data:image/png;base64,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[/img][br][size=150][br]Sketch 4 quick graphs representing the solutions to each of these inequalities using the applets below. Drag the red points to adjust the line, select a line style from the dropdown menu, and select on the blank areas on the graph to shade them in.[/size][br]
x-y<5
x-y≤5
x-y>5
x-y≥5
For each graph, write an inequality whose solutions are represented by the shaded part of the graph.
[img]data:image/png;base64,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[/img]
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[/img]
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[/img]
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[/img]
[size=150]The points [math]\left(7,3\right)[/math] and [math]\left(7,5\right)[/math] are both in the solution region of the inequality [math]x-2y<3[/math].[/size][br][img]data:image/png;base64,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[/img][br][br]Compute [math]x-2y[/math] for both of these points.
Which point comes closest to satisfying the equation [math]x-2y=3[/math]?
That is, for which [math]\left(x,y\right)[/math] pair is [math]x-2y[/math] closest to 3?
[size=150]The points [math]\left(3,2\right)[/math] and [math]\left(5,2\right)[/math] are also in the solution region.[br][/size][br]Which of these points comes closest to satisfying the equation [math]x-2y=3[/math]?[br]
Find a point in the solution region that comes even closer to satisfying the equation [math]x-2y=3[/math]. [br]What is the value of [math]x-2y[/math]?[br]
For the points [math]\left(5,2\right)[/math] and [math]\left(7,3\right)[/math], [math]x-2y=1[/math]. Find another point in the solution region for which [math]x-2y=1[/math].[br]
Find [math]x-2y[/math] for the point [math]\left(5,3\right)[/math].Then find two other points that give the same answer.[br]

IM Alg1.2.21 Practice: Graphing Linear Inequalities in Two Variables (Part 1)

Here is a graph of the equation 2y-x=1
Are the points [math]\left(0,\frac{1}{2}\right)[/math] and [math]\left(-7,-3\right)[/math] solutions to the equation? Explain or show how you know.[br]
Check if each of these points is a solution to the inequality [math]2y-x>1[/math]:[br][list][*][math](0,2)[/math][br][/*][/list]
[list][*][math]\left(8,\frac{1}{2}\right)[/math][/*][/list]
[list][*][math](\text{-}6,3)[/math][br][br][/*][/list][br]
[list][*][math](\text{-}7,\text{-}3)[/math][/*][/list]
Shade the region that represents the solution set to the inequality 2y - x > 1 by clicking the coordinate plane.
Are the points on the line included in the solution set? Explain how you know.
[size=150]Select [b]all [/b]coordinate pairs that are solutions to the inequality [math]5x+9y<45[/math].[/size]
Consider the linear equation 2y-3x=5.
The pair [math]\left(-1,1\right)[/math] is a solution to the equation. Find another [math]\left(x,y\right)[/math] pair that is a solution to the equation.
Are [math]\left(-1,1\right)[/math] and [math]\left(4,1\right)[/math] solutions to the inequality [math]2y-3x<5[/math]? Explain how you know.[br]
Explain how to use the answers to the previous questions to graph the solution set to the inequality [math]2y-3x<5[/math].[br]
[size=150]The boundary line on the graph represents the equation [math]5x+2y=6[/math]. 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eEnDKlHMoiDBgWQWMmRgWkOdWPv6aedu/erQSM1q6qqtLiarrb/caNG6VloB6oj9trG8/HHwGWqTamu41jffjy8nJpOY5HsvOQIvMhRe31Cxd9pwuOMcfLlStXlGYWNzuDWptaQos3Oxm+jg+f/osXhk9jLeiA4eMOl5B1uKgeMLb0escLwxfEnJbQjuHbLzQa1QCc7PnDarEXhu68vOfT6zwiaiqtWrWKx/NpqAUfMHzs+YR/YrLwzX47i4qr6hm+YOa0FIaP4QsLfPCC6HjhZqfGWtABw8fwhQ0+zPGye+8+18uKBVkpEVVUVIiSXaVheTP8Gchu586doxMnTsiKUd4VXrp0SVpOXV2ds/d8oevt5Gc+/TOWetzSc7io1xXt0fEybdZz9Je//EXawBg+cxUyfPs/FXoQkVGK0jBpbkd5z6e/vwfGjCW8IJfdGD5zDTJ8DJ/wz2fma3H08KMTzS3HYQ7DZ64oho/hE8KH72cfenyK7eS65qbVnMPwmWuI4WP4TOFbsesUXfnhmrn1OMhh+MyVxPAxfKbwpew6ZTrHi7lJBeYwfIH60MccwXfhwgVal5Uv/JH0D+l2x1jaKzFvu7QcjABI9jdKy4lbk0Ypu09LyUF5yLG7d7t83A/W2rM7zy5f9iW7Kj8+NYeWVR2j1Q1NlpPr6o1JdJyeni5KdpUG+8NoBNkNS3s1NDTIilFen4TilUVOTg59/fXXQfXppE9h+Mw/5+ro8NlNrqu3E9Hxpk2bRMmu0joCfHjHiPeV+o3hY88n9Laq54Mn7NV/gOeOF4avGTeAN3LkSFqyZIkGoWP4fh0zn6JeXiIVJsx4niZMf05KBurw6NQZNOm5GGk5434xhSbPfU1KDspDjqxucD+PTptpK2f8b16hPiMeMQ233v4fdPcDI23l2NV3/C+fpkm/XqDI6R0xliIfeohSUlJchylTprguY7xObGwszZw5U1rOyy+/TC+++KK0nNmzZ9Orr77qWs78+fOpc+fO1LVrVwXCDRs2OGt23jdoMPUb/ahU6D0kgvoMHiYlA3Xoff8D1GfoKGk599w7kPqOGCslB+UhR1Y3uB/cl52cnw0dTV1+9GPT8A//+E90c9dbbeXYXaf3gEHUJyJSkYNrjp4QRY8//rjrMHDgQNdljNcZP348DRkyRFrO6NGjacSIEdJyhg8fTg8//LBrOZMmTaLbbruNOnXqRDNmzFBGj/Azn8u5MdVOCezb2jPfj37ag+4aMETYlNTX2+5Y3+zEuWaT6+qfYUTH3Oy8rpWoqCgFOjz/YXPc7OTeTnGnS0vDhwUyF2RXk6/uE3pqySp67HdLlWMVpnDBB/mfXPqf65bk8Ijha1YUgFOhU1XH8LWjDpenFq8iLBf9q+Vp2v6uAUPpps5dNADDCR9WNbJbTlo1LHXP8KmaCN47gu/Pf/4zZfqrpJsyeJeVtK1BWg6m2FtWeURajm9zcUje8/k2l0jXBfeTWFhtKgfgATp4vcETpwSc98+3/IsCI7xTqODz5W4PWv0Xc7xMe3p6sBVZpJSVlVnkOsuC/YXi/dzJkyfp6NGjzi5qcdaBAweCvJjF6UpWWlqaMhRJPW/lypX0/vvv23e4oJuUhxSJm50tMaoBwPUdOU4BDnvj2uxIe2TO75T8UMGHbzvxhYvanMU+ZmMpde/Zi65evarakO2ev3BpVhHgQycLNoCH5z9HX7gwfGLwYJAtAR/ggtfD9fCspwcCx/CELQEfrvVm3k5b4PQnMHzXtdGtWzcChP3791fe9bV7+PAMZPQERuM0i/tyyhR4zPKdpAO+2Qt9NG7OAiV4rYvVYFp0TVvV5Y5e9yjNUZwTTs+n1uH8X7+7blEmR/jDfvvtt2n69OlUXFxscpazZMgK1Uh21AUAyGxep5GIiYmhLl26aE3Wdg0fwLv19jtp7toiS+NUjca4DwV88TuP0z33P6DUAd4J9RF5J+O1jXEz+ACzFXzIB3yqvJ8Pj6TBE6dqcTXd7V7U7FRlVP4p+HtEozHD0GDoSUlJShNLxuBDBd+HH35IkZGRypcmxvq6iXuBD/eAL1wAH46xtVv43sjZqTwHobnVmvAZm53offRSHzP4YPCAT212qgCoezQ58UyoxSdNpUeem6/F1XS3eyv49JPr2hktmp0wssWLF9udapofKvhmzZpFGRkZrQIfmpr4A4IeVF20W/h69LtfaW62NfjghULp+QANgO45cFiQXPSAGkEP1agGK/iaVzVy1vEC+GBsre35YOiAD6MR4IFkNreeDx0taAlgw7s+eD9s7QK+V3JrSA3Ju8/SQ1Nm0qy33lH+3VsDPrUu2Os9H7wQgHDrZXC+leeDZ0NzFkF9tjR71m0J+FDfiOipjoYarV69WtrYZT2f2uSD4bc0fLg2INNvgFdNd7RKUeheNbgfhzdlUQoNiX5aCX8o2EU33XwLjZ3xomKI8AiDJ03x1Oni9ZlPrcuEF/6gwScDnh18KszwcghWnrWl4MNQo9xS62kBYWR9+/bVnnH0BujmWBY+eJ7o6GiaN28ezZ07l7p376582OymDvpz3Xo+fVn9cSt4PvfwqcaHPToY4PnGPvOC0r2OJhkM30svo1f49PWB5xsQEenZ46myrDyfeo6TfUvBh7pgcl2zDQaK5l1hYaHZKY7TZeFTn7XQ9MOoBnT5q89djiuhO/GGhQ8/un6thtZoduohiJ4XSzfdfLPyTAYvjOCl6dke4cPkumZzvOC55t5776V+/frRqFGjlKCzX1eHsvCpF2uNZqd6bdG+3Xk+I3x6ENweh8rzdcR5O606XFQ9L9n+R5r/ZqLlFy/8kl2EXXMaw8cTKAk7iJzABwgjoqdZdrwwfCGAb11WASWV7pEKvuwywjrosnLiNxVQYl6FtBwso5xUXCcnp7hOWYJZ9p5wPwlpW9zXpbiefFnbtDBwZCRFRk/R4sjzUrf4DTnKh952ZWfFLqORYyLp+PHjwpCVlSVMNztflI4PmfHCXpTnJq22tpawDrqbMqJz/X6/siS0KM9NmuNloTduKaXlVUelAr7a9+VXSslAHRJgUCW7pOXEb8yjZRWHpeSgfPzGfCkZuCfcT0K2ex1jNETStl1auH/MeIqcMkOLI8/L7xafsZWS/fsdlX3wkQlUXV1N58+fDwpbtmwJShOdZ5XW1NSkzBhmdY6TvIMHD9KePXuk6wOIMTrCyTWtztm2bVtLL5Qi19uJpo6+w0V9/vCy52c+8w/GnTY7oXerjhdudoag2dma7/mMYDF85tC05KsG/e9y5PO/Ca2M4ROqRUnkDhfucJHqcFEBXH/grLDjheFj+IQGxs1Ocw/qptkJAPHFy+ix44IsjeELUomW0AqejxfHVL2Fft8eX7Lr649jzPGC3j79xvDptRF4zPBxs1PYKnDr+QCfaKgRwxcInD7G8DF8IYMPQ42MHS8Mnx63wGOGj+ELGXzwfsbJdRm+QOD0MYaP4QspfADw0//9VrMxhk9TRdABw8fwhRw+rGqkdrwwfEHMaQkMH8MXcvgmx8TS6wsXKUbG8GmsBR0wfAxfyOFrnuPlbrp27ZryTWaQ1blMCPV4PpeXDzq9HQ+m5fd8eC4yho7wnk9/T2+kb1OMlj1fELtaAnu+Nuz5MFfL3HXFStAbttVxa33bKaoTJtdl+DTWgg4YvjYKn7o+A6bJGDFttjJ9oMjAjWltCT7M8cLwBTGnJTB8bRQ+I1SYKMpq1jL1/LYEHzpepk57SjM2rwc3/DPfmsxs8uVVSAWMQMcIaVk5GIGekF4oLWfpe6mUkFMmJQfll763QUoG9IH7iVu32VTO7d16CPMScvxKOZRFGDAsgsZMjA5I86LvuDVplLC5RHhNp/JefTedfnzbbcqobwxi9RqqqqqUVVy9llfLYbmyoqIiz/VQ5RQUFCgeXY173TseyZ5ZupNW7DkjFZJL91FSSb2UDNTBV7BTGYEuWx9MaZFSf0KqPiifkFksJQP3gRHxWHdQdE9jn42hqJcWCvNS6k/S8tomLQwa9xg9/MwLWhx5Ipl2ab5cPy2rOuaprF72oIhRlJ6eTt98843ncOHCBaqvr/dcXr02RsSjp1KNe91j0ZYzZ85Iy8GUFi08aS73dqpNRP0+qfKPdGeve6hbn/voydeStN5QTEOIeUn151odt6VmJ+o5Y/7rlFZQ5LXFqZS74ZudoRvJzvCJ4Flec1xpFbx96BIp4fBnyvyfbsCD3LYGX0LGVnKyqpEVnQxfZb3jf1+RcSENk/1gUh6zfKfpN8I0EliVCGutq2szYG9cFEWkr7YIn9UcL1bQqXkMH8Mn/NPQL5QigsFpmvElO6a/V9dmUPdOpsRvi/AlNZyiN5a/q3zxogLlZs/wMXwtCp9TaI3ntUX4UMeIKGerGomgZPgYPoZP8FmcEX5jHM98SJuzKovGRz0mYss2jeFj+Bg+CfgA4NCxE7ShRrbE6U5g+Bg+hk8SPq8dLwwfw8fwScIH72ec40Xn4EwPGT6Gj+ELAXwZRy8JJ9c1JY9IWdkWX5XIbur6fLJyeDxfzUdCGIwP/FZxnjQ3eFyhqi8vUweqZfV7tcNFTcPkum47XtjzsecTwh6u93yqsbrdt9VXDfr7wBwvx44dc+yAGD6Gj+ELQbMTEI6Y8hwtWRrH8NXV8YfV+n9lt8fs+cybrtClsdmJtMT6U646XtjzsedjzxcizwcAs5q+ZM/n1PNlV9TSyoMXpQLGrCX790rJQB0Si2ppedUxaTm+7FJasfeslByUx3LXsrrB/WCJatdyGs/TSl0YPPGXhPF/+jTXMg9eJF9BJaXUf+K+PgYbwSBhs+t/+tX/0Q8//GAbvvzyS9q7d6/teXayMAbv448/lpZz5MgRwhhDu+vZ5dfU1Dhrdioj2TcXk08ixK3Pori1GVIycP2lqzdR/IZceTmr1irNIpl7QrNq6aq10nXB/cSt2eRajnL991IJo/IR7hsynEaPn6TFkebl/pa+m0qYecBLWX2ZpSvfM5XRvWcvWr9+PWGkulXACPSMjAzLc6zKq3mFhYXKaw417nWPdeZLSkqk6+N4JDuP5xM/2/Azn1gv6rOz6JlPzYuKiaXX3lho2/zkZz5+5uNnvhA+8wFAZXLdnr3o6tWrlgAyfAwfwxdi+ADg79flW4KHTIaP4WP4wgAfAMTkulYbw8fwMXxhgg+T61ptDB/Dx/CFCb4nXkmw7Hhh+Bg+hi9M8Nl1vDB8DB/DFyb48NwXET3NdKgRw8fwMXxhhG/OO9m0JiNb+OjH8DF8DF8Y4YP3M+t4YfgYPoYvzPCZzfHC8DF8DF+Y4Uvec46WvLM+aHJdho/hY/jCDJ9ZxwvDx/DdUPBhGbaUXaeE9wxInAarD6tFMsb9+vf04KgxAR0vDB/DJzS4lhjVgGXCsDS0yFiNaaGaw6W14MP9DIyIDJjjheFj+ITGH274sDhK35HjWnxN9taEz9jxcsPDl15cTlgFVSYkleyixK3VUjJwfV9eOSX7G6XlYJT18upjUnJQHnJk9IKyuB8st2yU02d4JD3/dibdde+goDyci3X9sPSaGgY9PJkeenq2Fke6UaaTeMLmbYoMJ+danYNlwK3yzfIaPjlPly9fVsLZs2epurpai6vpbvdHjx6lgwcPSsvZvXs3nThxQlrO9u3bnY9kT9xaQzIB7f+EtAIpGbh+fGoO+bK2SctRRo4X7JCS4yvYQVi/XEYvKIv7gaHq5Tz0y2fomVfeojlvplCP3v0C8rTztuyk+E35Whjw4CgaM/kXWhx52rkufr+4tZnky93uqaz+ekvfXe9JxurSOkpOTqZDhw5RQ0MDYR10HMuEyspKwqh4GRkoW1xcTJgCQlYOj2Tf/6mwOWl8ljKLh6rZiWWhp82PpWfi31fCguxqpbmJ62J9vrsGDHVUz47wzId7VibXndy8qtEN3+zkaSTEPXyhhG/Ss3Mpev6byprsgG3kU3OUlWkHT5pCt95+p7JMtNmfgJreUeDD/aiT6zJ83OEi9Dyhgs+4Mi08n6eyRecAAAQ5SURBVLoibfT8t+iOXvcQ0lTIzPYdCb7JMbH0+sJFPJKdPV94PZ8RPj1cN2KzE/ePoUZY1Yg9H3s+odcJl+fTw+fmuCN5Ptx31sdfMnzs+VrP893I8OHem85/QbxEmIvPikQGg3dOyf79Qg8iOt8sLam4ntBMM8t3ms5LhIn/UKC/1nzJbvz9fnbvQMJEtbIbr8/H8An/NKye+YzGaBXvaM1O3Ouk51+hmbOelWWPGD6Gj+Fz2YJaWFBPd9z5U9vJde3oZPgYPobPJXwYXfHcq0vs2LLNZ/gYPobPA3xYptpucl07+hg+ho/h8whf5Z+sJ9dl+CwUy72d5r2L3OFirhs0O+H5pi5a4Wo5aSOM7PnY87Hns/iDFvXkqvDFbCyjex8YFjTHixEyszjDx/AxfB7hA5gR0VNNJ9c1g05NZ/gYPoZPAj4MNVqxdoPKk6t9u4UvNa+IlpUfkgqJ+ZWEr0pk5SRkFlHS1hppOfGp2ZTs3yclB+UxuFf2nnA/uC+3cvDFEJ6H1DBw9Fh66InpWhzpbmXifCwJjZkHvJTVl4lbmy4tA/XAIGxVbt7eD+n06dOuA9Z1r6urc13OeK0dO3YoI+KN6W7jRUVFzkayp+ZtpWXlB6VCYl4F+bJLpWSgDhgRn1RYLS1Hga90r5Sc5NK9BDmyusH9NMPnTseAH6Pp1QD4xvziaS2OdC91U+ArbvBUVn+9uPcBn7t7Mp6fVNyg/Bno05tO/jedOnXKVdizZw/V1ta6KiO6BkbEHzhwQFrO1q1bncHHH1aLe+N4VINYL2rHidupA9Vy+r3a4aKlHbpEieszXX/x0m6bnQyf2MgYPrFeVFDCAt/hz2jEY9MoNzf3xnjmY/jERsbwifUSbviwqtH4ydEMn6pouz2/ZDc3VH7Jbq6boGbn33tL+z4wLGByXTsSudnJrxr4VYPEqwb9H7xxcl2Gz0Kx7PnM/93Z85nrxszzAUTM8eJ0Y8/Hno89n8UftN6zqcdW8GU1fUkVFRWO+GP4GD6GL4TwoeNlnMOOF4aP4WP4QggfvOPd/Qc66nhh+Bg+hi/E8EXFxNJrbyy0bXoyfAwfwxdi+BaXHXbU8cLwMXwMX4jhQ9MTHS92G8PH8DF8YYAPANrN8cLwMXwMX5jgu2/4SMuOF4aP4WP4wgSfXccLw8fwMXxhgg8dL9179jIdatRu4Vu3OYcyd+yRCmsLyuj9nCIpGajD6s35lFpUIS3n3bRsStteLyUnbXsdQY6sbnA/qzcXuJaTXl6v6BR6RRg6cgw9+viTAWle6oZ72rit2nV9jNcKhW42bqtyrOMFccupsbGRDh8+HBQwAt3v9weli861SsOy0BiUa3WOkzxHI9nRi/TFF19waIM6uHDhgu20CPzbtV3bFfXQdhIlchprgDUQfg0wfOHXMV+BNSDUAMMnVAsnsgbCr4H/B5TkHj+MHoDWAAAAAElFTkSuQmCC[/img][br][br]Write an inequality that is represented by the graph.
Choose the inequality whose solution set is represented by this graph.
[img]data:image/png;base64,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[/img]
Solve each system of equations without graphing.
[math]\begin{cases} 4d+7e=68 \\ \text-4d-6e=\text-72\\ \end{cases}[/math]
[math]\begin{cases} \frac14 x+y=1 \\ \frac32 x-y=\frac43 \\ \end{cases}[/math]
Mai and Tyler are selling items to earn money for their elementary school.
[size=150]The school earns [math]w[/math] dollars for every wreath sold and [math]p[/math] dollars for every potted plant sold. Mai sells 14 wreaths and 3 potted plants and the school earns $70.50. Tyler sells 10 wreaths and 7 potted plants and the school earns $62.50.[br]This situation is represented by this system of equations:[/size][br][math]\begin{cases}14w + 3p = 70.50\\ 10w + 7p = 62.50 \end{cases}[/math][br][br]Explain why it makes sense in this situation that the solution of this system is also a solution to [math]4w+\left(-4p\right)=8.00[/math].
Elena is planning to go camping for the weekend and has already spent $40 on supplies.
[size=150]She goes to the store and buys more supplies.[/size][br][br]Which inequality represents [math]d[/math], the total amount in dollars that Elena spends on supplies?
[size=150]Solve this inequality: [math]\frac{x-4}{3}\ge\frac{x+3}{2}[/math][/size]
[size=150]Which graph represents the solution to [math]\frac{4x-8}{3}\le2x-5[/math]?[/size][br][br]
Solve -x<3.
Explain how to find the solution set.

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