1. Solving Inequalities #35

2. Vocabulary An inequality is a statement that two quantities are not equal. The quantities are compared by using one of the following symbols: ≤ ≥ ≠ An inequality may contain a variable, as in x > 3. A solution of an equality is any value of the variable that makes the statement true.

3. Graph the solutions of each inequality on a number line. Example 1 2 3 4 5 6 7 8 A. t > 1 B. y  11 9 10 11 12 13 14 15

4. Graph the solution of the inequality b ≤ 4 on a number line. Example 2 1 2 3 4 5 6 7 8 9 10

5. Solve and graph each inequality. Example 3 5 6 7 8 91011 4 3 2 101 – x – 3 ≥ 5

6. Solve and graph each inequality. Example 4 7 6 5 4 321 5 < x + 3

7. Solve and graph each inequality. Example 5 5 6 7 8 91011 4 3 2 101 – 8z < 32

8. Graph the solution of the inequality on a number line. Example 6 13 14 15 16 17 18 19 a4a4 > 4

9. Real-World Application 1 Write an Inequality to Represent the Situation Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend.

10. Real-World Application 2 Derek must log at least 20 hours of flight time for a sport pilot certificate. So far, he has logged 7 hours. Write and solve an inequality to describe how much more flight time Derek needs to log.