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Chapter 2: Q.2.125 (page 190)

Solve The compound inequality. Graph the solution and write the solution in interval notation.14x-3鈮�-1and-3(x-2)鈮�2

Short Answer

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Solution: No solution

Step by step solution

01

Step 1.Given information

14x-3鈮�-1and-3(x-2)鈮�2

02

Step 2.Solve Each Inequalities

14x-3鈮�-1鈬�14x-3+3鈮�-1+3鈬�14x鈮�2鈬�14x脳4鈮�2脳4鈬�x鈮�8-3(x-2)鈮�2鈬�-3(x-2)-3鈮�2-3(Inequalitychangesherewhenwemultiplybothsidesby-3)鈬�x-2鈮�2-3鈬�x-2+2鈮�2-3+2鈬�x鈮�-43

03

Step 3.Graph each solutions and Merge them

Graph of 14x-3鈮�-1

Graph of-3(x-2)鈮�2

There is no common part in the above graph so there is no solution for the compound inequalities

04

Step 4.Solution and Interval Notation

No Solution

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