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Chapter 2: Q 600. (page 220)

In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation.

32x-3<-5or4x-1>3

Short Answer

Expert verified

Solution of 32x-3<-5is (-鈭�,0.7)

Solution of 4x-1>3is (1,鈭�)

Solution of the compound inequality in interval notation is -鈭�,0.7or 1,鈭�

Graph is as follows:

Step by step solution

01

Step 1. Solution of the compound inequality.

Consider the inequality 32x-3<-5

32x-3<-56x-9<-56x<4x<46

x<23

Consider the inequality 4x-1>34x-1>3

4x-1>34x>4x>1

So, solution of the compound inequality is-鈭�,0.7鈭�1,鈭�

02

Graph of the compound inequality

Number line is as follows:

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