Answer: 68.5°F and 76.5°F
Step-by-step explanation:
Given: The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) .
According to the given absolute inequality equation, where x is the temperature of house
|x – 72.5| = 4
it gives x – 72.5 ≥ -4 and x – 72.5 ≤ 4
⇒ -4 ≤ x – 72.5 ≤ 4
Adding 72.5 on both the sides, we get
⇒ -4+72.5 ≤ x ≤ 4+72.5
⇒68.5 ≤ x ≤ 76.5
Thus the minimum temperature is 68.5° F and the maximum temperature is 76.5° F.
