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Answer:

175 ≤ x ≤ 185

Step-by-step 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