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Chapter 2: Q 383 (page 195)

Solve compound inequalities with "and"

4x-2鈮�4and7x-1>-8

Short Answer

Expert verified

Thenumberthatmakebothinequalitiestrueis-1<x鈮�32IntervalNotation:(-1,32]

Step by step solution

01

Solve Each Inequalities

4x-2鈮�44x-2+2鈮�4+2鈬�4x鈮�6鈬�4x4鈮�64鈬�x鈮�32 7x-1>-8鈬�7x-1+1>-8+1鈬�7x>-7鈬�7x7>-77鈬�x>-1

02

Graph Each Solution


Graphfor4x-2鈮�4

Graphfor7x-1>-8

03

Merge The    Graph of Each Solution

Graphfor4x-2鈮�4and7x-1>-8

04

Interval Notation

Thenumberthatmakebothinequalitiestrueis-1<x鈮�32IntervalNotation:(-1,32]

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