Question

For the last 20 years, Mr. Bean has weighed 120 pounds,give or take 4 pounds. Write anabsolute value inequality that models this situation.Write a compound inequalityrepresenting all possible weights for Mr. Bean.

Answer 1

An absolute value inequality that models this situation: $|x-120|\leq 4$

The required compound inequality representing all possible weights for Mr. Bean.: $116\leq x\leq 124$

Given: For the last 20 years,

Mr. Bean has weighed 120 pounds, give or take 4 pounds.

To write: a) An absolute value inequality that models this situation.

b)  a compound inequality representing all possible weights for Mr. Bean.

Computation:

Let x be the actual weight of Mr. Bean,

then

Required absolute inequality:$|x-120|\leq 4$

It can be written as

$-4 \leq x-120\leq 4$

Add 120 on all sides , we get

$120-4\leq x\leq120+4$

$116\leq x\leq 124$

The required compound inequality representing all possible weights for Mr. Bean.: $116\leq x\leq 124$

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