I am assuming u probably got to determining that the 2 statements individually are not SUFF

1) x - y > -2
(2) x - 2y < -6 => - 6 > x- 2y

TOGETHER:

We can add inequalities facing same direction

x-y>-2
-6>x-2y

x-y + -6 > -2 + x - 2y

We get y>4

Lets say we keep y=4 and we know x - y>-2 i.e x > -2+y
x > -2+4
x>2

We can see that x and y are positive so xy>0

SUFF

C

Makes sense. I was able to eliminate A,B and D, but was struggling between C and E. The part I was missing was lining up and adding the two inequalities.

Thanks for the help, Cramya.