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?

So solve for x

|x-72.5|=4
the || makes the inside positive so it could be positivie and negative so

x-72.5=4 and x-72.5=-4
solve for x in both situations

x-72.5=4
add 72.5 to both sides
x=76.5

x-72.5=-4
add 72.5 to both sides
x=68.6

the minimum it can be set to is 68.5 and the max is 76.5