# The absolute value inequality for the thickness of laminate. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.7, Problem 120E

(a)

To determine

## The absolute value inequality for the thickness of laminate.

Expert Solution

The absolute value inequality for the thickness of the laminate is |t0.020|0.003_.

### Explanation of Solution

The thickness of the industrial laminates is 0.020 in and the tolerance of the laminate is 0.003 in.

Let the thickness of the laminating sheet be t.

The difference between the thickness x and specified thickness 0.020 is less than the tolerance of the laminate 0.003.

The above can be written as absolute value of inequality as follows:

0.003t0.0200.003|t0.020|0.003

Therefore, the absolute value inequality for the thickness of the laminate is |t0.020|0.003_.

(b)

To determine

### The solution of the inequality in part (a).

Expert Solution

The solution of the inequality is 0.017t0.023_.

### Explanation of Solution

From part (a), |t0.020|0.003.

Solve |t0.020|0.003 as follows:

|t0.020|0.0030.003t0.0200.0030.003+0.020t0.020+0.0200.003+0.020.017t0.023

Thus, the solution of the inequality is 0.017t0.023_.

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!