Over Lesson 5–3

Write an inequality for the sentence. There are more than 500 students (s) at Candlewood Middle School.

State whether the inequality 15 – n < 9 is true or false for n = 4.

What inequality represents the graph?

Cherie grew at least 3 inches in the last year. Write an inequality to describe her growth.

x

Over Lesson 5–3

A. s 500

B. s 500

C. s > 500

D. s < 500

Write an inequality for the sentence. There are more than 500 students (s) at Candlewood Middle School.

Over Lesson 5–3

A. true

B. false

State whether the inequality 15 – n < 9 is true or false for n = 4.

Over Lesson 5–3

A. x > 2

B. x < 2

C. x < –2

D. x > –2

What inequality represents the graph?

Over Lesson 5–3

A. g 3

B. g -3

C. g -3

D. g 3

Cherie grew at least 3 inches in the last year. Write an inequality to describe her growth.

You have already used the Properties of Equality to solve equations.(Lessons 4–3 and 4–4)

• Solve inequalities by using the Addition and Subtraction Properties of Inequality.

• Solve inequalities by multiplying or dividing by a positive or negative number.

Solve an Inequality

Solve y + 5 > 11. Check your solution.

y + 5 > 11Write the

inequality.

y + 5 > 11 Subtract 5 from each side.

- 5 - 5

y > 6 Simplify.

Solve an Inequality

Solve y + 5 > 11. Check your solution.

To check your solution, first check the solution and thentry any number greater than 6.

Check #1

y + 5 = 11 Write the inequality with an equal sign.

Answer: The solution is y > 6.

7 + 5 > 11 Replace y with 7. 12 > 11 This statement is true.

6 + 5 = 11 Replace y with 6. 11 = 11 This

statement is true. Check #2 y + 5 >11 Write the inequality.

A. x < 22

B. x < 4

C. x < –4

D. x > 4

Solve x + 9 < 13.

Solve m − 20 > -4. Check your solution.

Graph the Solution of an Inequality

Write the inequality.

Solve Graph the solution on a number line.

Simplify.

Answer:

Solve Graph the solution on a number line.

A.

B.

C.

D.

;

;

;

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