Question

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x – 72.5| = 4. What are the minimum and maximum temperatures in the house? 72.5°F and 76.5°F 68.5°F and 76.5°F 70.5°F and 74.5°F 72.5°F and 74.5°F

Answer 1

The answer is 68.5 and 76.5. It's absolute value, so it's asking what numbers are 4 away in either direction.

Answer 2

Answer: 68.5°F and 76.5°F

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.