Absolute Value Inequality

How to solve absolute value inequalities

General Formula for Absolute Value Inequality Graph and Solution

Example 1

The diagram below illustrated the difference between an absolute value expression (shown at top) and two absolute value inequalities (shown at the bottom)

Absolute Value Inequality Calculator

Enter any values for A,b and c for any absolute value equation |Ax + b| = c into the text boxes below and this solver will calculate your answer and show all of the steps!

$$|Ax + B | \gt C$$

Practice Problems

Problem 1

Solve the absolute value inequality below: $$| x -1 | \ge 2$$

Problem 2

Solve the absolute value inequality below: $$|2x + 1| \lt 7$$

Problem 3

Solve the absolute value inequality below: $$|3x - 5| \lt 4$$

Problem 4

Solve the absolute value inequality below: $$|2x - 3| \lt 1$$

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