Question

A candy company places an average of 20 truffles in a one-pound box. The number of truffles per box never varies from the average by more than 2. What could be an absolute value inequality to represent this situation, using x to represent the actual number of truffles?

A) |x - 20| ≤ 2
B) |x - 20| > 2
C) |x + 20| ≤ 2
D) |x + 20| > 2

Answer 1

The correct absolute value inequality to represent the situation where the number of truffles per box is within 2 of the average of 20 is |x - 20| ≤ 2.

Step-by-step explanation:

The absolute value inequality to represent the number of truffles per one-pound box, which is never more than 2 away from the average of 20, can be expressed as |x - 20| ≤ 2. This inequality means that the actual number of truffles (x) in a box can be either 2 more or 2 less than the average, but not more than that difference. Hence, the correct answer is A) |x - 20| ≤ 2.