Learning Objectives:

__Math Tutoring on Solving Absolute Value Inequalities__

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**Absolute Value Inequalities** can be rewritten as **compound inequalities with "AND" **or** "OR."** This means we will be looking for either the **intersection **or the** union** of two **inequalities.**

**Absolute value inequalities** fall into two basic categories:

**1. ****|**** x ****|**** < c **or** ****|**** x ****|**** ≤ c **

** 2. ****|**** x ****|**** ˃ c **or** ****|**** x ****|**** ≥ c **

The solutions of **|**** x ****|**** < c **or** ****|**** x ****|**** ≤ c**** **are those values such that,

● **-c < x < c **which means **x ˃ -c **AND** x < c**

● **-c ≤ x ≤ c **which means** x ≥ -c **AND** x ≤ c **

The solutions of **|**** x ****|**** ˃ c **or** ****|**** x ****|**** ≥ c** are those values such that,

● **x ˃ c **OR** x <- c**

● **x ˃ c **OR** x <- c**

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**Hook Questions:**

*1. **What are compound value inequalities?*

*2. **What are absolute value inequalities?*

*3. **What is the solution of *

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