$\bullet$ absolute value inequalities: $| \heartsuit |$ > $a$, solution:$\heartsuit$ < $-a$ $\;or\;$ $\heartsuit$ > $a$

# Mastering Absolute Value Inequalities: A Comprehensive Guide Unlock the secrets of absolute value inequalities with our step-by-step approach. Learn to solve, graph, and apply these crucial math concepts to real-world problems. Elevate your algebra skills today!

Intros

0/1 watched

- $\bullet$ definition of absolute value: $| \heartsuit | =$
**distance of**$\heartsuit$**from zero**

$\bullet$**absolute value inequalities:**$| \heartsuit |$ < $a$,**solution:**$-a$ < $\heartsuit$ < $a$

$\bullet$**absolute value inequalities:**$| \heartsuit |$ > $a$,**solution:**$\heartsuit$ < $-a$ $\;or\;$ $\heartsuit$ > $a$

Examples

0/11 watched

**Solving Basic Absolute Value Inequalities**

Solve:**Solving Absolute Value Inequalities Involving "less than"**

Solve: $|2x-1|$ < $3$**Solving Absolute Value Inequalities Involving "greater than"**

Solve:**Multiplying/Dividing an Inequality by a Negative Number**

Solve:**Given a Pair of Inequalities, Determine the Corresponding Absolute Value Inequality**

Determine the absolute value inequality statement that corresponds to each inequality:**Recognizing Absolute Value Inequalities with "No Solution" or "All Real Numbers"**

Solve: