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Chapter 2: Q. 418 (page 196)

Solve each inequality, graph the solution, and write the solution in interval notation.

4鈭�7x鈮�鈭�3or5(x鈭�3)+8>3

Short Answer

Expert verified

Solution of inequalities

x鈮�1orx>2

Graph of solution of inequalities

The solution in interval notation

(-鈭�,1]鈭�(2,鈭�)

Step by step solution

01

Step 1. Given information 

Consider each inequality

4鈭�7x鈮�鈭�3or5(x鈭�3)+8>3

02

Step 2. Solve each inequality 

4鈭�7x鈮�鈭�3-7x鈮�-3-4-7x鈮�-7x鈮�-7-7x鈮�1or5(x鈭�3)+8>35(x-3)>3-85(x-3)>-5x-3>-55x-3>-1x>-1+3x>2

03

Step 3. Graph each inequality 

Forx鈮�1

Forx>2

04

Step 4. Graph number that make either one inequality true x≤1 or x>2

The solution in interval notation

(-鈭�,1]鈭�(2,鈭�)

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