Question

The minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below:

2|x − 6| + 14 = 38

What are the minimum and maximum temperatures for this day?

x = −9, x = 21

x = −6, x = 18

x = 6, x = −18

No solution

Answer 1

2|x − 6| + 14 = 38 
sub 14 from both sides, 
2|x - 6| + 14 - 14 = 38 - 14 
2|x - 6| = 24 
Divide both sides by 2, 
[ 2|x - 6| ] / 2 = 24 / 2 
|x - 6| = 12 
-12 = x - 6 = 12 
-12 = x - 6 
-12 + 6 = x 
-6 = x 
x - 6 = 12 
x = 12 + 6 
x = 18 
x = -6, 18 
The minimum T = -6oC 
The maximum T = 18oC 
[ x = −6, x = 18 ] 
hope this helps

Answer 2

x=-6 x=18 is the answer