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 math expression


Answer


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



Answer




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