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Chapter 2: Q. 396 (page 195)

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

鈭�5鈮�4x鈭�1<7

Short Answer

Expert verified

Solution of inequality:

鈭�1鈮�x<2

Graph the numbers that make both inequalities true:

The solution in interval notation:

[-1,2)

Step by step solution

01

Step 1. Given information 

Consider the inequality

鈭�5鈮�4x鈭�1<7

02

Step 2. Solve the inequality−5 ≤ 4x − 1 < 7

Add 1 to all three parts:

鈭�5+1鈮�4x鈭�1+1<7+1

Simplify:

鈭�4鈮�4x<8

Divide each part by 4:

鈭�44鈮�4x4<84

Simplify:

鈭�1鈮�x<2

03

Step 3. Graph the solution of inequality−1 ≤ x  < 2

The solution in interval notation:

[-1,2)

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