This is the question:

If |x -2| < 1, then |2x - 4| < A

I need to find A. I noticed that the absolute value part has been doubled in the second expression. Naturally, I thought that A had to be double 1, which is 2.

Thus, A = 2.

However, my text tells me that the answer is A >= 2. Why is this so? Thank you.