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

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

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