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Chapter 2: Q. 408 (page 195)

Solve each inequality, graph the solution, and write the solution in interval notation.

2(3x鈭�1)<4or3x鈭�5>1

Short Answer

Expert verified

Solution of inequalities

x<1orx>2

Graph of solution of inequalities

The solution in interval notation.

(-鈭�,1)鈭�(1,鈭�)

Step by step solution

01

Step 1. Given information 

Consider the inequality

2(3x鈭�1)<4or3x鈭�5>1

02

Step 2. Solve each inequality

2(3x鈭�1)<43x-1<423x-1<23x<2+13x<3x<33x<1or3x鈭�5>13x>1+53x>6x>63x>2

03

Step 3. Graph each inequality  

Forx<1

Forx>2

04

Step 4. Graph number that make either one inequality true x<1 or x >2

The solution in interval notation

(-鈭�,1)鈭�(1,鈭�)

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