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

B : 68.5°F and 76.5°F

Explanation:

The equation has absolute value in it, meaning that the two equations for the two answers could be seen as "x-72.5=4" and "72.5-4=x".

x-72.5=4 :

72.5+4=x

72.5+4=76.5=x

76.5=x

72.5-4=x :

72.5-4=68.5=x

68.5=x

Answer 2

`|x-72.5|=4 \\ x-72.5=-4 \ \lor \ x-72.5=4 \\ x=-4+72.5 \ \lor \ x=4+72.5 \\ x=68.5 \ \lor \ x=76.5`

The minimum and maximum temperatures in the house are 68.5°F and 76.5°.