If S is a set of odd integers and 3 and -1 are in ~$S$~ , is -15 in ~$S$~ ?

1. 5 is in ~$S$~.

2.Whenever two numbers are in ~$S$~, their product is in ~$S$~.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.