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Chapter 2: Q. 459 (page 208)

In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.

|x|≤3

Short Answer

Expert verified

The solution in interval notation is (-3,3]

Step by step solution

01

Step 1. Given information

Absolute Value Inequalities with “less than”:|x|≤3

02

Step 2. Calculation

We have,

|x|≤3-3<x≤3equivalentinequality

The solution using interval notation is(-3,3]

03

Step 3. Graph the solution

The graph is

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