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Chapter 2: Q.385. (page 195)

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

7x-8<6and5x+7>-3

Short Answer

Expert verified

The Graph of Solution is


Thenumberthatmakebothinequalitiestrueis-2<x<2IntervalNotation:(-2,2)

Step by step solution

01

Step 1. Given information

7x-8<6and5x+7>-3

02

Step 2.Solve each inequalities

7x-8<6鈬�7x-8+8<6+8鈬�7x<14鈬�7x7<147鈬�x<2and5x+7>-3鈬�5x+7-7>-3-7鈬�5x>-10鈬�5x5x>-105鈬�x>-2

03

Step 3.Graph Each Solution

Graph of7x-8<6

Graph of 5x+7>-3

04

Step 4. Merge The Graph of Each Solution

05

Step 5. Interval Notation

Thenumberthatmakebothinequalitiestrueis-2<x<2IntervalNotation:(-2,2)

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