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Chapter 2: Q.2.131 (page 193)

Solve the compound inequality. Graph the solution and write the solution in interval notation.35x-7鈮�-1or13x+6鈮�-2

Short Answer

Expert verified

Solution:TrueforallxIntervalNotation:-鈭�,鈭�

Step by step solution

01

Step 1. Given information

35x-7鈮�-1or13x+6鈮�-2

02

Step 2. Solve Each Inequalities

35x-7鈮�-1or13x+6鈮�-235x-7+7鈮�-1+713x+6脳3鈮�-2脳335x鈮�6x+6鈮�-635x脳53鈮�6脳53x+6-6鈮�-6-6x鈮�10x鈮�-12

03

Step 3. Graph Each Solution

Graph of35x-7鈮�-1

Graph of13(x+6)鈮�-2

By Merging the above graphs of inequalities we get it is True for all x

04

Step 4. Solution and Interval Notation

Solution:TrueforallxIntervalNotation:-鈭�,鈭�

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