The minimum and maximum temperature on a cold day in Lollypop town can be modeled by #2|x-6|+14=38#. What are the minimum and maximum temperatures for this day?

1 Answer
Oct 31, 2017

#x=18 or x=-6#

Explanation:

#2|x-6|+14=38#

Subtracting 14 to both sides:

#2|x-6|=24#

Dividing by 2 both sides:

#|x-6|=12#

Now the function module must be explicated:

#x-6=12 or x-6=-12#

#x=12+ 6 or x=-12+6#

#x=18 or x=-6#