Chapter 1.2, Problem 60E

### Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

Chapter
Section

### Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

# In Exercises 45–62, find the values of x that satisfy the inequality (inequalities).60. 2 x − 3 x − 1 ≥ 4

To determine
The value of x satisfy the inequality 2x3x14 .

Explanation

Given:

The given inequality is 2xâˆ’3xâˆ’1â‰¥4 .

Calculation

Subtract 4 from the both sides of the Â given equation.

2xâˆ’3xâˆ’1âˆ’4â‰¥4âˆ’42xâˆ’3xâˆ’1âˆ’4â‰¥02xâˆ’3âˆ’4x+4xâˆ’1â‰¥01âˆ’2xxâˆ’1â‰¥0

The above inequality 1âˆ’2xxâˆ’1â‰¥0 holds when both (1âˆ’2x)â€‰andâ€‰(xâˆ’1) have same sign.

The inequality 1âˆ’2xâ‰¥0 when x<12 , 1âˆ’2x<0 when x>12 and 1âˆ’2x=0 when x=12

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