What is the expression x - 4 represents a negative integer. what integers could x represent?

The expression x-4 will come out to be a negative integer. That means X has to be something that when 4 is taken away from it, the answer is still negative.

Let's try 5.
5-4 is 1. Is 1 negative? No, so that doesn't work.
4-4 is 0. 0 isn't negative either, so that doesn't work.
3-4 is -1. Is -1 negative? YES! Let's try it for 2 as well, just to be safe.
2-4 is -2. Still negative.

X can be anything less than 4.