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Chapter 2: Q.2.130 (page 192)

Solve the compound inequality. Graph the solution and write the solution in interval notation.

2-5x鈮�-3or5+2x鈮�3

Short Answer

Expert verified

Solution:x鈮�-1orx鈮�1IntervalNotation:(-鈭�,-1]鈭�[1,鈭�)

The graph of the solution is

Step by step solution

01

Step 1. Given information

2-5x鈮�-3or5+2x鈮�3

02

Step 2.Solve Each inequalities

2-5x鈮�-3or5+2x鈮�32-5x-2鈮�-3-25+2x-5鈮�3-5-5x鈮�-52x鈮�-2-5x-5鈮�-5-52x2鈮�-22x鈮�1x鈮�-1

03

Step 3. Graph The Solution

Graph of2-5x鈮�-3

Graph of5+2x鈮�3

Merge the above graphs

04

Step 4.Solution and Interval Notation

Solution:x鈮�-1orx鈮�1IntervalNotation:(-鈭�,-1]鈭�[1,鈭�)

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