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Chapter 2: Q.388. (page 195)

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

3(2x-3)>3and4(x+5)鈮�4

Short Answer

Expert verified

The number that make both Inequalities true is x > 2

Interval Notation: ( 2, 鈭� )

The solution graph is

Step by step solution

01

Step 1.Given information

3(2x-3)>3and4(x+5)鈮�4

02

Step 2.Solve Each Inequalities 

3(2x-3)>3鈬�3(2x-3)3>33鈬�2x-3>1鈬�2x-3+3>1+3鈬�2x>4鈬�2x2>42鈬�x>24(x+5)鈮�4鈬�4(x+5)4鈮�44鈬�x+5鈮�1鈬�x+5-5鈮�1-5鈬�x鈮�-4

03

Step 3. Draw the graph

Graph of 3(2x-3)>3

Graph of4(x+5)鈮�4

Merged both solution

04

Step 4.Interval Notation

The number that make both Inequalities true is x > 2

Interval Notation: ( 2, 鈭� )

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