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Chapter 2: Q. 401 (page 195)

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

鈭�6鈮�4x鈭�2<鈭�2

Short Answer

Expert verified

Solution of inequality:

鈭�2鈮�x<0

Graph the numbers that make both inequalities true:

The solution in interval notation:

[-2,0)

Step by step solution

01

Step 1. Given information  

Consider the inequality

鈭�6鈮�4x鈭�2<鈭�2

02

Step 2. Solve the inequality   −6 ≤ 4x − 2 < −2

Add 2 to all parts:

鈭�6+2鈮�4x鈭�2+2<鈭�2+2

Simplify:

鈭�4鈮�4x<0

Divide each part by 4:

鈭�84鈮�4x4<04

Simplify:

鈭�2鈮�x<0

03

Step 3. Graph the solution of inequality  −2 ≤ x < 0

The solution in interval notation:

[-2,0)

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