A real estate development consists of home sites that range in width from 59 to 115 feet and in depth from 135 to 191 feet. Using $x$ as the variable in both cases, write absolute value inequalities that correspond to these ranges.
A) $| \mathrm { B } - 56 | \leq 59 , | x - 56 | \leq 135$
B) $| \mathrm { B } - 59 | \leq 56 , | \mathrm { x } - 135 | \leq 56$
C) $| x - 87 | \leq 28 , | x - 163 | \leq 28$
D) $| x - 28 | \leq 87 , | x - 28 | \leq 163$

Question

Quizplus · Accepted Answer

The correct absolute value inequalities are found by determining the midpoint of each range and then calculating the maximum deviation from that midpoint. For width, the midpoint between 59 and 115 is 87, and the range is 56, so the deviation is 28 (half of 56). For depth, the midpoint between 135 and 191 is 163, and the range is 56, so the deviation is also 28. Therefore, $| x - 87 | \leq 28$ and $| x - 163 | \leq 28$ correctly represent the given ranges.

A Real Estate Development Consists of Home Sites That Range xxx

A Real Estate Development Consists of Home Sites That Range $x$