Isn't it always the case that if X+Y>0 then X>-Y.
Yes IT IS TRUE ALWAYS!
X+Y > 0 take Y to the other side or subtract both the sides by Y we get:
X+Y - Y > 0 - Y
=> X > -Y
Is X+Y positive?
1-X-Y is positive
Question is is X + Y > 0
X-Y > 0
=> X > Y
Only thing which this option tells us is that X is greater than Y
Now, X and Y can both be negative then X + Y < 0
X can be positive and Y can be negative and |Y| > |X| then X + Y <0
X can be positive and Y can be negative and |Y| = |X| then X + Y =0
X can be positive and Y can be negative and |Y| < |X| then X + Y >0
X and Y can both be positive, in this case X + Y > 0
So, NOT Sufficient
Y > 0
This is not sufficient as we have no information about X
STAT1 and STAT2 together give us that X > Y and Y is positive so, obviously X will also be positive
Hence, X + Y >0 (because both X and Y are positive)
So, answer will be C
Hope it helps!
You must Believe
GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief
Quant Formula Sheet
How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities