1987 AJHSME Problem 6

The smallest product one could obtain by multiplying two numbers in the set \{ -7, -5, -1, 1, 3 \} is

\text{(A)}\ -35 \qquad \text{(B)}\ -21 \qquad \text{(C)}\ -15 \qquad \text{(D)}\ -1 \qquad \text{(E)}\ 3

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.