OA is C. Can anyone explain why?
Its a yes/no question.
xy>0 implies that xy is positive which means either x and y both should be positive or x and y both should be negative.
statement1. x - y > - 2 or x > y - 2
if y = -1 then x could be -2 which gives yes
if y = -1 then x could be 3 which gives No
so statement 1 is insufficient
statement2. similarly statement2 is also insufficient.
two inequalities ....add them ( change the inequality of the second statement to - x + 2y > 6) we get
y > 4 ( so y is positive)
now in statement1 if y > 4 then x > 2 ....so Yes xy > 0 since x and y both positive
in statement 2 if y > 4 then x > 2 ... so Yes xy> 0 .
so the answer is C . www.graduatetutor.com