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Chapter 2: Q 377 (page 195)

Solve Compound Inequalities with "and"

x鈮�4andx>-2

Short Answer

Expert verified

Thenumberthatmakebothinequalitiestrueis-2<x鈮�4IntervalNotation:(-2,4]

Step by step solution

01

Solve each inequalities

x鈮�4i.e.(-鈭�,4]x>-2i.e.(-2,鈭�)

02

Graph each solution

Draw the number lines for each inequalities

Graphforx鈮�4

Graphforx>-2

03

Merge The Graph of Each solution

Graphforx鈮�4andx>-2

04

Interval Notation

Thenumberthatmakebothinequalitestrueis-2<x鈮�4IntervalNotation:(-2,4]

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