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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 5-Minute Check 2 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 5-Minute Check 3 A.true B.false State whether the inequality 15 – n < 9 is true or false for n = 4.

Over Lesson 5–3 5-Minute Check 5 A.x > 2 B.x < 2 C.x < –2 D.x > –2 What inequality represents the graph?

Over Lesson 5–3 5-Minute Check 6 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.

Then/Now 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.

Concept A

Example 1 Solve an Inequality Solve y + 5 > 11. Check your solution. y + 5>11Write the inequality. y + 5 >11 Subtract 5 from each side y>6Simplify.

Example 1 Solve an Inequality Solve y + 5 > 11. Check your solution. To check your solution, first check the solution and then try any number greater than 6. Check #1 y + 5=11 Write the inequality with an equal sign. Answer: The solution is y > >11 Replace y with 7. 12>11 This statement is true =11 Replace y with 6. 11=11 This statement is true. Check #2 y + 5 >11 Write the inequality.

Example 1 A.x < 22 B.x < 4 C.x < –4 D.x > 4 Solve x + 9 < 13.

Example 1 Solve m − 20 > -4. Check your solution.

Example 2 Graph the Solution of an Inequality Write the inequality. Solve Graph the solution on a number line. Simplify. Answer:

Example 2 Solve Graph the solution on a number line. A. B. C. D. ; ; ; ;