IM 6.7.9 Lesson: Solutions of Inequalities

The number line shows several points, each labeled with a letter. Fill in each blank with a letter so that the inequality statements are true.
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[/img][br][br]_______ 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Jada says that she found three different ways to complete the first question correctly. Do you think this is possible? Explain your reasoning.[br]
List a possible value for each letter on the number line based on its location.
Priya finds these height requirements for some of the rides at an amusement park.
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[/img][br][br]Write an inequality for each of the the three height requirements. Use [math]h[/math] for the unknown height. 
Represent each height requirement on a number line.
Han’s cousin is 55 inches tall. Han doesn’t think she is tall enough to ride the High Bounce, but Kiran believes that she is tall enough. Do you agree with Han or Kiran? Why?
Priya can ride the Climb-A-Thon, but she cannot ride the High Bounce or the Twirl-O-Coaster. Which, if any, of the following could be Priya’s height?
Priya can ride the Climb-A-Thon, but she cannot ride the High Bounce or the Twirl-O-Coaster. What could be Priya’s height? Why?
Jada is 56 inches tall. Which rides can she go on?
Kiran is 60 inches tall. Which rides can he go on?
The inequalities [math]h<75[/math] and [math]h>64[/math] represent the height restrictions, in inches, of another ride. Write three values that are [b]solutions [/b]to both of these inequalities.
Represent the height restrictions for all three rides on a single number line, using a different color for each ride.
Which part of the number line is shaded with all 3 colors?
Name one possible height a person could be in order to go on all three rides.
Below are two applets of cards—one set shows inequalities and the other shows numbers. The inequality cards face up where everyone can see them. The number cards are shuffled face down.[br][br]To play:[br][list][*]One person in your group is the detective. The other people will give clues.[br][/*][*]Pick one number card from the stack and show it to everyone except the detective.[br][/*][*]The people giving clues each choose an inequality that will help the detective identify the unknown number.[br][/*][*]The detective studies the inequalities and makes three guesses.[br][/*][list][*]If the detective does not guess the right number, each person chooses another inequality to help.[br][/*][*]When the detective does guess the right number, a new person becomes the detective.[/*][/list][/list]Repeat the game until everyone has had a turn being the detective.[br]
Number cards
Inequality cards

IM 6.7.9 Practice: Solutions of Inequalities

Select [b]all [/b]numbers that are solutions to the inequality [math]k>5[/math].
Draw a number line to represent the inequality above.
A sign on the road says: “Speed limit, 60 miles per hour.”
Let [math]s[/math] be the speed of a car. Write an inequality that matches the information on the sign.[br]
Draw a number line to represent the inequality above.
Could 60 be a value of [math]s[/math]? Explain your reasoning.
One day in Boston, MA, the high temperature was 60 degrees Fahrenheit, and the low temperature was 52 degrees.
Write one or more inequalities to describe the temperatures [math]T[/math] that are between the high and low temperature on that day.[br]
Show the possible temperatures on a number line.
Select [b]all [/b]the true statements.
Match each equation to its solution.
[math]x^4=81[/math]
[math]x^2=100[/math]
[math]x^3=64[/math]
[math]x^5=32[/math]
The price of a cell phone is usually $250. Elena’s mom buys one of these cell phones for $150. What percentage of the usual price did she pay?
Elena’s dad buys another type of cell phone that also usually sells for $250. He pays 75% of the usual price. How much did he pay?

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