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?

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

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

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