Answer to Question #247901 in Calculus for Anino

Question

A cookie manufacturer guarantees that the cookies will be 100 grams, with an error of at most 2 grams. Write an equation using absolute values and the weight W of a cookie that gives the condition that the cookie meets the guarantee.

Answer 1

Guaranteed that weight of a cookie 100 grams with an error of at most 2 grams.

The actual weight of a cookie is W gram.

So Difference between W and 100 is 2

i.e. value of W will satisfy the conditions that W ≥ (100-2) and W ≤ (100+2)

=> 100-2 ≤ W ≤ 100+2

=> -2 ≤ W - 100 ≤ 2

=> | W - 100 | ≤ 2

This is the required condition