Chapter Contents

Inequalities
1. Properties of Inequalities
2. Solving Linear Inequalities
3. Solving Non-Linear Inequalties
4. Inequalities Involving Absolute Values

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2. Solving Linear Inequalities

The procedure for solving linear inequalities in one variable is similar to solving basic equations. (See Solving Equations.)

Example 1

Solve x + 2 < 4

Answer

Example 2

Solve x on 2 gt 4

Answer

Example 3

Solve 2x ≤ 4

Answer

Example 4

Solve the inequality 3 - 2x ≥ 15

Answer

Example 5

Solve the inequality math expression

Answer

Inequalities with Three Members

Example 1

Solve - 1 < 2x + 3 < 6

Answer

Example 2

Solve 2x < x - 4 ≤ 3x + 8

Answer

Exercises

Solve the following inequalities

1. Solve 3 - 3x < -1

Answer

2. Solve -2(x + 4) > 1 - 5x

Answer

3. Solve

Answer

4. Solve x - 1 < 2x + 2 < 3x + 1

Answer

1. Properties of Inequalities

3. Solving Non-Linear Inequalties

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