Problema Solution

Saftey goggles function best at room temperature, or 75 degrees Fahrenheit. A pair of special safety goggles can function at temperatures that differ from this value by at most 41.3 degrees Fahrenheit. Create an inequality to find the range of acceptable temperatures.

Answer provided by our tutors

let 'x' be the temperature of the safety function


since x varies from 75 F by most of 41.3 F


|x-75| ≤ 41.3


-41.3 ≤ x-75 ≤ 41.3


75 - 41.3 <= x <= 75 + 41.3


33.7 <= x <= 116.3


follows x is an element of the interval [33.7, 116.3].