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Chapter 2: Q.389. (page 195)

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

鈭�3(x+4)<0and鈭�1(3x鈭�1)鈮�7

Short Answer

Expert verified

Solution:-x鈮�2

Interval:-[-2,鈭�)

The solution graph is

Step by step solution

01

Step 1.Given information

鈭�3(x+4)<0and鈭�1(3x鈭�1)鈮�7

02

Step 2.Solve Each Inequalities 

-3(x+4)<0鈬�3(x+4)>0鈬�(x+4)>0鈬�x>-4and-1(3x-1)鈮�7鈬�(3x-1)鈮�-7鈬�3x鈮�-7+1鈬�3x鈮�-6鈬�x鈮�-2

03

Step 3. Graph of each solution

Graph of -3(x+4)<0

Graph of-1(3x-1)鈮�7

04

Step 4. Merge Overlapping intervals

05

Step 5.Interval notation

[-2,鈭�)

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