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Chapter 2: Q. 398 (page 195)

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

5<4x+1<9

Short Answer

Expert verified

Solution of inequality:

1<x<2

Graph the numbers that make both inequalities true:

The solution in interval notation:

(1,2)

Step by step solution

01

Step 1. Given information  

Consider the inequality

5<4x+1<9

02

Step 2. Solve the inequality 5 < 4x + 1 < 9

Subtract 1 to all three parts:

5-1<4x+1-1<9-1

Simplify:

4<4x<8

Divide each part by 4:

44<4x4<84

Simplify:

1<x<2

03

Step 3. Graph the solution of inequality  1 < x <2

The solution in interval notation:

(1,2)

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