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Chapter 2: Q.382. (page 195)

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

4x+6鈮�2and2x+1鈮�-5

Short Answer

Expert verified

The solution graph is

Thenumberthatmakebothinequalitiestrueis-3鈮�x鈮�-1IntervalNotation:[-3,-1]

Step by step solution

01

Step 1.Given information

4x+6鈮�2and2x+1鈮�-5

02

Step 2. Solve Each Inequalities 

4x+6鈮�2鈬�4x+6-6鈮�2-6鈬�4x鈮�-4鈬�4x4鈮�-44鈬�x鈮�-12x+1鈮�-5鈬�2x+1-1鈮�-5-1鈬�2x鈮�-6鈬�2x2鈮�-62鈬�x鈮�-3

03

Step 3.Graph Each Solution

Graph of 4x+6鈮�2

Graph of2x+1鈮�-5

04

Step 4.Merge The Graph of Each Solution

Merging both the solution

05

Step 5. Interval Notation

Thenumberthatmakebothinequalitiestrueis-3鈮�x鈮�-1IntervalNotation:[-3,-1]

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