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Solving Inequalities Examples

Example 1

Solve the inequality x – 4 < 7 and show the solutions using a number line. 

Example 2

Solve the inequality 4x + 2 ≤ 3x + 10.

Example 3

Solve the inequality 3(y – 1) > 2(4 + y).

Example 4

Solve the inequality -4(x – 1) < 2x + 3.