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Chapter 2: Q. 409 (page 195)

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

3(2x鈭�3)<鈭�5or4x鈭�1>3

Short Answer

Expert verified

Solution of inequalities

x<23orx>1

Graph of solution of inequalities

The solution in interval notation.

(-鈭�,23)鈭�(1,鈭�)

Step by step solution

01

Step 1. Given information  

Consider the inequality

3(2x鈭�3)<鈭�5or4x鈭�1>3

02

Step 2. Solve each inequality 

3(2x鈭�3)<鈭�56x-9<-56x<-5+96x<4x<46x<23or4x鈭�1>34x>3+14x>4x>1

03

Step 3. Graph each inequality   

Forx<23

Forx>1

04

Step 4. Graph number that make either one inequality true  x<23 or x>1

The solution in interval notation

(-鈭�,23)鈭�(1,鈭�)

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