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Absolute Value Inequality

How to solve absolute value inequalities

Example 1 of Absolute Value Inequality Graph and Solution


The diagram below illustrated the difference between an absolute value expression (shown at top) and two absolute value inequalities (shown at the bottom)
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Example 2 of Absolute Value Inequality Graph and Solution

graph


General Formula for Absolute Value Inequality Graph and Solution

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calc

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!
$$ |Ax + B | \gt C $$
A
B
Type of Inequality
C

Solve My Absolute Value Inequality
Practice Problems


Practice Problem 1
$$| x -1 | \ge 2 $$
Loading Coordinate Geometry Proof


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

Loading Coordinate Geometry Proof


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

Loading Coordinate Geometry Proof


Practice Problem 4)
Solve the absolute value inequality below:
$$ | 2x - 3 | \lt 1 $$

Loading Coordinate Geometry Proof
Further Reading