Question

An architect is designing a house for the Frazier family. The Fraziers have asked that the cost of

the house be about $175,000 and are willing to deviate from this price no more than $20,000.

19 A) Write an open sentence involving an absolute value.

Answer 1

║x - 175,000║≤ 20,000

Explanation:

Let x be the amount the Fraziers are willing to pay. Since the house costs $175,000 and they are willing to deviate from this price no more than $20,000, so x = $175,000 ± $20,000.

So, x - 175,000 = ± 20000

║x - 175,000║= 20,000

But we require

║x - 175,000║≤ 20,000

which is our required open sentence.