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Chapter 2: Q.379. (page 195)

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

x>-6andx<-3

Short Answer

Expert verified

Thenumberthatmakebothinequalitiestrueis-6<x<-3IntervalNotation:(-6,-3)

Step by step solution

01

Step 1. Given information

x>-6andx<-3

02

Step 2.Solve each inequalities

x>-6i.e.(-6,鈭�)x<-3i.e.(-鈭�,-3)

03

Step 3.Graph each Solution

Graph of x>-6

Graph ofx<-3

04

Step 4. Merge the graph of each solution

05

Step 5. Interval Notation

Thenumberthatmakebothinequalitiestrueis-6<x<-3IntervalNotation:(-6,-3)

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