# Lesson 2

Solutions of Inequalities

### Problem 1

1. Select all numbers that are solutions to the inequality $$k > 5$$.

4

5

6

5.2

5.01

0.5

2. Draw a number line to represent this inequality.

### Problem 2

A sign on the road says: “Speed limit, 60 miles per hour.”

1. Let $$s$$ be the speed of a car. Write an inequality that matches the information on the sign.
2. Draw a number line to represent the solutions to the inequality.
3. Could 60 be a value of $$s$$? Explain your reasoning.

### Problem 3

One day in Boston, MA, the high temperature was 60 degrees Fahrenheit, and the low temperature was 52 degrees.

1. Write one or more inequalities to describe the temperatures $$T$$ that are between the high and low temperature on that day.
2. Show the possible temperatures on a number line.

### Problem 4

Describe a rigid transformation that you could use to show the polygons are congruent.

### Solution

(From Unit 1, Lesson 11.)

### Problem 5

1. 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.

2. 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.