1. 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

2. Warm Up 3-1 Graphing and Writing Inequalities
Compare. Write <, >, or =.
1. −3 2 3.
<
>
> =
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

3. 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

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

5. 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

6. 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

7. 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

8. 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
x > 1
x > –2 –5 –4 –3 –2 –1 1 2 3 4 5