Question

For the last 20 years, Mr. Bean has weighed 160 pounds give or take 4 pounds. Write an absolute value inequality representing all possible weights for Mr. Bean.

A) |x - 160| < 4

B) |x - 160| > 4

C) |x - 160| = 4

D) |x - 160| ≤ 4

Answer 1

The absolute value inequality to represent all possible weights for Mr. Bean who has weighed around 160 pounds for the last 20 years is |x - 160| ≤ 4.

Step-by-step explanation:

The question asks us to write an absolute value inequality representing all possible weights of Mr. Bean, who has kept his weight at 160 pounds, with a possible variation of 4 pounds more or less for the last 20 years. An absolute value inequality can represent a range of values that are a specific distance from a given number. In this case, we want all weights (x) that are within 4 pounds of 160. The correct inequality to represent this situation is |x - 160| ≤ 4, which corresponds to answer choice D. This inequality implies that the weight can be up to 4 pounds more or less than 160 pounds, which includes 160 pounds itself.