# 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?

Oct 31, 2017

$x = 18 \mathmr{and} x = - 6$

#### 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:

$x - 6 = 12 \mathmr{and} x - 6 = - 12$

$x = 12 + 6 \mathmr{and} x = - 12 + 6$

$x = 18 \mathmr{and} x = - 6$