Warm Ups Preview 3-1 Graphing and Writing Inequalities 3-2 Solving Inequalities by Adding or Subtracting 3-3 Solving Inequalities by Multiplying or Dividing 3-4 Solving Two-Step and Multi-Step Inequalities 3-5 Solving Inequalities with Variables on Both Sides 3-6 Solving Compound Inequalities 3-7 Solving Absolute-Value Inequalities

Warm Up 3-1 Graphing and Writing Inequalities Compare. Write <, >, or =. 1. −3 2 3. < 2. 6.5 6.3 > > 4. 0.25 = Tell whether the inequality x < 5 is true or false for the following values of x. 5. x = –10 T 6. x = 5 F 7. x = 4.99 T 8. x = T

Warm Up 3-2 Solving Inequalities by Adding or Subtracting Write an inequality for each situation. 1. The temperature must be at least –10°F. 2. The temperature must be no more than 90°F. x ≥ –10 x ≤ 90 Solve each equation. 3. x – 4 = 10 14 4. 15 = x + 1.1 13.9

Warm Up 3-3 Solving Inequalities by Multiplying or Dividing Solve each equation. 1. –5a = 30 2. –6 –10 3. 4. Graph each inequality. 5. x ≥ –10 6. x < –3

Warm Up 3-4 Solving Two-Step and Multi-Step Inequalities Solve each equation. 1. 2x – 5 = –17 2. –6 14 Solve each inequality and graph the solutions. 3. 5 < t + 9 t > –4 4. a ≤ –8

Warm Up 3-5 Solving Inequalities with Variables on Both Sides Solve each equation. 1. 2x = 7x + 15 2. x = –3 3y – 21 = 4 – 2y y = 5 3. 2(3z + 1) = –2(z + 3) z = –1 4. 3(p – 1) = 3p + 2 no solution 5. Solve and graph 5(2 – b) > 52. b < –3 –5 –3 –2 –1 –4 –6

Warm Up 3-6 Solving Compound Inequalities Solve each inequality. 1. x + 3 ≤ 10 2. x ≤ 7 23 < –2x + 3 –10 > x Solve each inequality and graph the solutions. 4. 4x + 1 ≤ 25 x ≤ 6 5. 0 ≥ 3x + 3 –1 ≥ x

Warm Up 3-7 Solving Absolute-Value Inequalities Solve each inequality and graph the solution. 1. x + 7 < 4 2. x < –3 –5 –4 –3 –2 –1 1 2 3 4 5 14x ≥ 28 x ≥ 2 –5 –4 –3 –2 –1 1 2 3 4 5 3. 5 + 2x > 1 x > –2 –5 –4 –3 –2 –1 1 2 3 4 5