Practice Absolute Value Inequalities in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Absolute value inequalities describe values within or outside a fixed distance from a center.
|x-a|<r means stay inside a radius; |x-a|>r means outside it.
Example 1
easySolve |x| < 5.
Example 2
mediumSolve |2x - 1| \geq 3.
Example 3
easySolve |x - 4| \leq 2.
Example 4
hardSolve |3x + 6| > 0.