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Chapter 2: Q. 407 (page 195)

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

4鈭�3x鈮�鈭�2or2x鈭�1鈮�鈭�5

Short Answer

Expert verified

Solution of inequalities

x鈮�2orx鈮�-2

Graph of solution of inequalities

The solution in interval notation.

(-鈭�,-2]鈭�[2,鈭�)

Step by step solution

01

Step 1. Given information 

Consider the inequality

4鈭�3x鈮�鈭�2or2x鈭�1鈮�鈭�5

02

Step 2. Solve each inequality 

4鈭�3x鈮�鈭�2-3x鈮�-2-4-3x鈮�-6x鈮�-6-3x鈮�2orrole="math" localid="1644727585170" 2x鈭�1鈮�鈭�52x鈮�-5+12x鈮�-4x鈮�-42x鈮�-2

03

Step 3. Graph each inequality 

Forx鈮�2

Forx鈮�-2

04

Step 4. Graph number that make either one inequality true x≥2 or x≤-2

The solution in interval notation.

(-鈭�,-2]鈭�[2,鈭�)

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