Absolute Value Inequality

How to solve absolute value inequalities

General Formula

for Absolute Value Inequality Graph and Solution

graph
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)

graph
Example 2
graph

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!

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



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Answer

Practice Problems

Problem 1

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

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Problem 2

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

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Problem 3

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

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Problem 4

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

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