The temperature, t, in degrees Fahrenheit, in a certain town on a certain spring day satisfies the inequality | t - 24 | is less than or equal to 30. Which of the following temperatures, in degrees Fahrenheit, is NOT in this range?

Question

F. -10
G. -6
H. -5
J. 0
K. 54

Answer 1

| t - 24 | ≤ 30

There are two cases here: positive and negative:

case I: positive
t - 24 ≤ 30
t ≤ 30 + 24
t ≤ 54

case II: negative
-(t - 24) ≤ 30
-t + 24 ≤ 30
24 - 30 ≤ t
-6 ≤ t

We get the intersection of these solution:
-6 ≤ t ≤ 54

Now from the choices, which of them is not included in this set?

Answer 2

hgh

Answer 3

I'm confused

Answer 4

-10