Question

For the past 20 years, steve has weighed 180 pounds, give or take 5 pounds. Which absolute value inequality represents all possible weights for steve?​

Answer 1

175 ≤ x ≤ 185

Explanation:

Given that :

Steve's weight for the past 20 years = 180 pounds ; give or take 5 pounds

The average weight of 180 has stayed within range of plus or minus 5 pounds of the mean weight

|x - 180| ≤ 5

x - 180 ≤ 5

x ≤ |5 + 180|

x ≤ 185

Also:

|x - 180| ≥ - 5

x - 180 ≥ - 5

x ≥ |-5 + 180|

x ≥ 175

Hence, Steve's range of possible weight :

175 ≤ x ≤ 185