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Chapter 2: Q.386. (page 195)

Solve compound inequalities with "and"

4(2x-1)鈮�12and2(x+1)<4

Short Answer

Expert verified

The Number That make both Inequalities true is x < 1

Interval Notation: (-鈭�,1 )

The Graph of Solution is

Step by step solution

01

Step 1.Given information

4(2x-1)鈮�12and2(x+1)<4

02

Step 2.Solve each inequalities

4(2x-1)鈮�12鈬�4(2x-1)4鈮�124鈬�2x-1鈮�3鈬�2x-1+1鈮�3+1鈬�2x鈮�4鈬�2x2鈮�42鈬�x鈮�2and2(x+1)<4鈬�2(x+1)2<42鈬�x+1<2鈬�x+1-1<2-1鈬�x<1

03

Step 3.Graph Each Solution

Graph of4(2x-1)鈮�12

Graph of 2(x+1)<4

04

Step 4. Merge The Graph of each Solution

05

Step 5.Interval Notation

The number that make both inequalities true is

Interval Notation:

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