BuyFind

Precalculus: Mathematics for Calcu...

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

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

Answer to Problem 120E

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

Answer to Problem 120E

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_.

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