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Chapter 2: Q.387. (page 195)

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

5(3x-2)鈮�5and3(x+3)<3

Short Answer

Expert verified

The number that make both Inequalities true is x < -2

Interval Notation: (-鈭�, -2 )

The Graph of Solution is

Step by step solution

01

Step 1. Given information

5(3x-2)鈮�5and3(x+3)<3

02

Step 2.Solve Each Inequalities

5(3x-2)鈮�5鈬�5(3x-2)5鈮�55鈬�3x-2鈮�1鈬�3x-2+2鈮�1+2鈬�3x鈮�3鈬�3x3鈮�33鈬�x鈮�1and3(x+3)<3鈬�3(x+3)3<33鈬�x+3<1鈬�x+3-3<1-3鈬�x<-2

03

Step 3. Graph Each Solution

Graph of5(3x-2)鈮�5

Graph of3(x+3)<3

04

Step 4. Merge The Graph of Each Solution

05

Step 5.Interval Notation

The number that make both Inequalities true is x < -2

Interval Notation: (-鈭�, -2 )

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