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Chapter 2: Q. 412 (page 195)

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

3x鈭�2>4or5x鈭�3鈮�7

Short Answer

Expert verified

Solution of inequalities

x鈮�2orx>2

Graph of solution of inequalities

The solution in interval notation

(-鈭�,鈭�)

Step by step solution

01

Step 1. Given information  

Consider the inequality

3x鈭�2>4or5x鈭�3鈮�7

02

Step 2. Solve each inequality 

3x鈭�2>43x>4+23x>6x>63x>2or5x鈭�3鈮�75x鈮�7+35x鈮�10x鈮�105x鈮�2

03

Step 3. Graph each inequality 

Forx>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�)=(-鈭�,鈭�)

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