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Chapter 2: Q. 406 (page 195)

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

2+3x鈮�4or5鈭�2x鈮�鈭�1

Short Answer

Expert verified

Solution of inequalities

x鈮�23orx鈮�3

Graph of solution of inequalities

The solution in interval notation.

(-鈭�,23]鈭�[3,鈭�)

Step by step solution

01

Step 1. Given information 

Consider the inequality

2+3x鈮�4or5鈭�2x鈮�鈭�1

02

Step 2. Solve each inequality

2+3x鈮�43x鈮�4-23x鈮�2x鈮�23or5鈭�2x鈮�鈭�1-2x鈮�-1-5-2x鈮�-6x鈮�-6-2x鈮�3

03

Step 3. Graph each inequality

Forx鈮�23

Forx鈮�3

04

Step 4. Graph number that make either one inequality true  x≤23 or x≥3


The solution in interval notation.

(-鈭�,23]鈭�[3,鈭�)

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