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Chapter 2: Q. 417 (page 196)

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

6(2x鈭�1)>6and5(x+2)鈮�0

Short Answer

Expert verified

Solution of inequalities

x>1andx鈮�-2

Graph of solution of inequalities

The solution in interval notation

(1,鈭�)

Step by step solution

01

Step 1. Given information 

Consider each inequality

6(2x鈭�1)>6and5(x+2)鈮�0

02

Step 2. Solve each inequality 

6(2x鈭�1)>62x-1>662x-1>12x>1+12x>2x>22x>1and5(x+2)鈮�0x+2鈮�05x+2鈮�0x鈮�0-2x鈮�-2

03

Step 3. Graph each inequality  

Forx>1

Forx鈮�-2

04

Step 4. Graph number that make both inequality true. x>1 and x≥-2

The solution in interval notation

(1,鈭�)

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