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?

Answer 1

(Minimum)
-2(x-6)=24
-2x+12=24
-2x=12
-x=6
x=-6

(Maximum)
2(x-6) = 24
2x-12=24
2x=36
x=18

Minimum= -6

Maximum= 18

Answer 2

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

`\rightarrow2|x-6|=24`

`\rightarrow|x-6|=12`

There are two cases:
1.
`x-6=12\rightarrow x=18`
2.
`x-6=-12\rightarrow x=-6`

So the minimum temperature is -6, and the maximum is 18.