1. LINEAR INEQUALITIES

2. Solving inequalities is almost the same as solving equations. 3x + 5 > 20 - 5 - 5 3x > 15 x > 5 0 5 After you solve the inequality, graph the solution. If it is, it is an open circle. If it is ≤ or ≥, it is a closed circle.

3. LINEAR INEQUALITIES Try again. x + 4 > 10 - 4 - 4 x > 6 0 6

4. LINEAR INEQUALITIES Try some on your own! 1. x – 3 ≤ - 5 2. 4x – 8 ≥ -4 3. 11 + 8x > 7 How did you do? 1. x ≤ -2 2. x ≥ 1 3. x > -1/2

5. LINEAR INEQUALITIES What about these? 6 < 2x + 5 < 7 6 < 2x + 52x + 5 < 7 - 5 - 5 - 5 - 5 1 < 2x 2x < 2 ½ < x x < 1 ½ < x < 1 Solve it as two separate problems and then put it back together. Don’t forget to graph it! 0 ½ 1

6. LINEAR INEQUALITIES There is only one rule that is different than equations. If you divide by a negative, you must flip the inequality sign. 5 – 7x ≥ 40 - 5 - 5 - 7x ≥ 35 x ≤ - 5Then graph the solution. -5 0

7. LINEAR INEQUALITIES Practice a few on your own or with a partner! Remember to graph your solution. 1. - 5 < x + 1 < 4 2. 2 ≤ x – 3 ≤ 6 3. - 3 < 4 – x ≤ 3 And the answers are…… 1. -6 < x < 3 2. 5 ≤ x ≤ 9 3. 1 ≤ x < 7