﻿ How to solve absolute value inequalities. Step by step interactive lesson with practice problems

# 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!

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

Answer

### 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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