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Chapter 2: Q. 411 (page 195)

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

23x鈭�3>5or3(5鈭�x)>6

Short Answer

Expert verified

Solution of inequalities

x<3orx>12

Graph of solution of inequalities

The solution in interval notation.

(-鈭�,3)鈭�(12,鈭�)

Step by step solution

01

Step 1. Given information 

Consider the inequality

23x鈭�3>5or3(5鈭�x)>6

02

Step 2. Solve each inequality  

23x鈭�3>523x>5+323x>8x>8脳32x>12or3(5鈭�x)>65-x>635-x>2-x>2-5-x>-3x<3

03

Step 3. Graph each inequality  

Forx<3

Forx>12

04

Step 4. Graph number that make either one inequality true x<3 or x >12

The solution in interval notation

(-鈭�,3)鈭�(12,鈭�)

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