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Chapter 2: Q. 410 (page 195)

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

34x鈭�2>4or4(2鈭�x)>0

Short Answer

Expert verified

Solution of inequalities

x>8orx<2

Graph of solution of inequalities

The solution in interval notation.

(-鈭�,2)鈭�(8,鈭�)

Step by step solution

01

Step 1. Given information

Consider the inequality

34x鈭�2>4or4(2鈭�x)>0

02

Step 2. Solve each inequality 

34x鈭�2>434x>4+234x>6x>6脳43x>8or4(2鈭�x)>02-x>042-x>0-x>-2x<2

03

Step 3. Graph each inequality  

Forx>8

Forx<2

04

Step 4. Graph number that make either one inequality true x>8 or x<2

The solution in interval notation

(-鈭�.2)鈭�(8,鈭�)

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