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Chapter 2: Q.378 (page 195)

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

x鈮�-4andx鈮�-1

Short Answer

Expert verified

Thenumberthatmakebothinequalitiestrueis-4鈮�x鈮�-1IntervalNotation:[-4,-1]

Step by step solution

01

Step 1. Given information

Solve each inequalities

x鈮�-4andx鈮�-1

02

Step 2.Solve each inequalities

x鈮�-4i.e.[-4,鈭�)x鈮�-1i.e.(-鈭�,-1]

03

Step 3.Graph Each Solution

Graph ofx鈮�-4

Graph ofx鈮�-1

04

Step 4.Merge The Graph of Each Solution

Merged both the solution and draw the graph we get

05

Step 5.Interval Notation

Thenumberthatmakebothinequalitiestrueis-4鈮�x鈮�-1IntervalNotation:[-4,-1]

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