Question

Which of the following expressions is equivalent to |x – 2| < 3?
A.
–3 > x – 2 < 3
B.
–3 < x – 2 < 3
C.
x – 2 < 3 and x – 2 < –3
D.
x – 2 < 3 or x – 2 < –3

Answer 1

If |A| < B it implies:
-B < A < B

Answer 2

Can you give me an example? I'm a little confused?

Answer 3

C. if @aum is correct.

Answer 4

Thanks! :)

Answer 5

If |A| < B it implies: -B < A < B
If |x – 2| < 3 it implies -3 < x - 2 < 3. So B.