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Chapter 2: Q. 414 (page 196)

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

12x鈭�3鈮�4or13(x鈭�6)鈮�鈭�2

Short Answer

Expert verified

Solution of inequalities

x鈮�14orx鈮�0

Graph of solution of inequalities

The solution in interval notation

(-鈭�,鈭�)

Step by step solution

01

Step 1. Given information 

Consider each inequality

12x鈭�3鈮�4or13(x鈭�6)鈮�鈭�2

02

Step 2. Solve each inequality 

12x鈭�3鈮�412x鈮�4+312x鈮�7x鈮�7脳2x鈮�14or13(x鈭�6)鈮�鈭�2x-6鈮�-2脳3x-6鈮�-6x鈮�-6+6x鈮�0

03

Step 3. Graph each inequality 

Forx鈮�14

Forx鈮�0

04

Step 4. Graph number that make either one inequality true x≤14 or x≥0

The solution in interval notation

(-鈭�,14]鈭�[0,鈭�)=(-鈭�,鈭�)

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