Think of the inequality symbol as an alligator's mouth. It want to eat the larger number (like a gator would want the larger animal to eat). Since the "gator" is facing the 2, it would read
Negative 3 is less than 2.
The number line would look like
-3 -2 -1 0 1 2
Therefore, A is correct because -3 is less than 2 and to the left on the number line.