An absolute value inequality is an inequality that contains an absolute value expression. It can be solved by considering the positive and negative scenarios of the expression inside the absolute value.
5 Must Know Facts For Your Next Test
Absolute value inequalities can be written in two forms: $\left|x\right| \leq a$ and $\left|x\right| \geq a$.
For $\left|x\right| \leq a$, the solution is $-a \leq x \leq a$.
For $\left|x\right| \geq a$, the solution is $x \leq -a$ or $x \geq a$.
When solving absolute value inequalities, split them into two separate inequalities to handle both cases.
Graphing helps visualize solutions to absolute value inequalities, typically resulting in segments or rays on the number line.