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Chapter 2: Q.384. (page 195)

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

2x-11<5and3x-8>-5

Short Answer

Expert verified

Thenumberthatmakebothinequalitiestrueis1<x<8IntervalNotation:(1,8)

The Graph of Solution is

Step by step solution

01

Step 1. Given information

2x-11<5and3x-8>-5

02

Step 2.Solve each inequalities

2x-11<5鈬�2x-11+11<5+11鈬�2x<16鈬�2x2<162鈬�x<8and3x-8>-5鈬�3x-8+8>-5+8鈬�3x>3鈬�3x3>33鈬�x>1

03

Step 3.Graph Each Solution

Graph of2x-11<5

Graph of3x-8>-5

04

Step 4. Merge The Graph of each Solution

05

Step  5.Interval Notation

Thenumberthatmakebothinequalitiestrueis1<x<8IntervalNotation:(1,8)

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