Question

Which statement is equivalent to |x - 4| < 5?
A. x - 4 < 5
B. x - 4 > 5
C. -5 < x - 4 < 5
D. x - 4 < 5 or x - 4 > 5

Answer 1

C

Answer 2

The distance from zero of x - 4 is less than 5.
So,
-5 < x - 4 < 5

Answer 3

|x|<y ===> -y <x < y

Answer 4

Definately C. We have two possibilities x>0, x<0 so it's C