Lesson 2
Solutions of Inequalities
Problem 1
-
Select all numbers that are solutions to the inequality \(k > 5\).
4
5
6
5.2
5.01
0.5
- Draw a number line to represent this inequality.
Solution
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Problem 2
A sign on the road says: “Speed limit, 60 miles per hour.”
- Let \(s\) be the speed of a car. Write an inequality that matches the information on the sign.
- Draw a number line to represent the solutions to the inequality.
- Could 60 be a value of \(s\)? Explain your reasoning.
Solution
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Problem 3
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 \(T\) that are between the high and low temperature on that day.
- Show the possible temperatures on a number line.
Solution
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Problem 4
Describe a rigid transformation that you could use to show the polygons are congruent.
Solution
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(From Unit 1, Lesson 11.)Problem 5
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Jada is taller than Diego. Diego is 54 inches tall (4 feet, 6 inches). Write an inequality that compares Jada’s height in inches, \(j\), to Diego’s height.
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Jada is shorter than Elena. Elena is 5 feet tall. Write an inequality that compares Jada’s height in inches, \(j\), to Elena’s height.
Solution
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(From Unit 4, Lesson 1.)