Question

A company produces machine parts. The inequality below shows all acceptable lengths, L, in centimeters, for the machine part.

L−28.5≤0.15
What is the minimum amount of centimeters that can be used for the machine part and what is the maximum?

Answer 1

The maximum length of the machine part allowed is 28.65 centimeters. There is no given minimum length in the inequality, but practically it would be a positive length required for the part to function.

Step-by-step explanation:

The company produces machine parts where the lengths of the parts must fall within a certain range. The inequality provided is L - 28.5 ≤ 0.15. To find the acceptable range of lengths for the machine part, we must solve the inequality for L.

First, add 28.5 to both sides of the inequality:

• L - 28.5 + 28.5 ≤ 0.15 + 28.5
• L ≤ 28.65

This means that the maximum length the machine part can be is 28.65 centimeters. Since the inequality does not provide a lower limit, we can assume that any length up to this maximum is acceptable. Therefore, the minimum amount could theoretically be zero, but practically it would be a positive length that allows the part to function as intended.