hi guys, could you please help with this problem?

Is xy>0?

1) x-y>-2

2) x-2y<-6

Choose among the 5 possibilities:

A) STATEMENT 1 ALONE IS SUFFICIENT

B) STATEMENT 2 ALONE IS SUFFICIENT

C) THE 2 STATEMENTS TOGETHER ARE SUFFICIENT

D) EACH STATEMENT ALONE IS SUFFICIENT

E) THE 2 STATEMENTS TOGETHER ARE NOT SUFFICIENT

The textbook I'm practicing on gives C) as the answer, but I cannot figure it out. Could you please explain the right solving sequence?

thank you