1. Equations and Inequalities

2. Unit 8 – Solving Inequalities

3. Vocabulary Inequality – A mathematical sentence that compares two unequal expressions using one of the symbols: < (less than) > (greater than) ≤ (less than or equal to) ≥ (greater than or equal to) ≠ (not equal to) Closed Circle  - Includes a quantity on a number line. Used with ≤ or ≥. Open Circle - Does not include a quantity on a number line. Used with < or >.

4. Solving Simple Inequalities - Example > = Complete with =,. > <

5. Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. y > 7 When y = _____, y > 7 is true. The inequality y > 7 is true for any value of y that is greater than 7.

6. Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. m < 28 When m = _____, m < 28 is true. The inequality m < 28 is true for any value of m that is less than 28.

7. Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. e ≥ 15 When e = _____, e ≥ 15 is true. The inequality e ≥ 15 is true for any value of e that is greater than or equal to 15.

8. Determining Solutions for Inequalities Example Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. z ≤ 21 When z = _____, z ≤ 21 is true. The inequality z ≤ 21 is true for any value of z that is less than or equal to 21.

9. Determining Solutions for Inequalities Practice Determine 4 solutions for each inequality. Then represent the solutions of each inequality on a number line. 1. p < 45 p could equal any number less than 45 2. a > -57 a could equal any number greater than -57 3. n ≤ 17 n could equal any number less than or equal to 17 4. w ≥ -63 w could equal any number greater than or equal to -63

10. Writing Inequalities from Number Lines - Example Write an inequality for each number line using the variable a. a > 14

11. Writing Inequalities from Number Lines - Example Write an inequality for each number line using the variable a. a ≤ 15

12. Writing Inequalities from Number Lines - Practice Write an inequality for each number line using the variable a. a ≥ 11 a < 14