I have some doubts about problem 12 on page 18 of the Manhattan Gmat Guide#3:
If x≠0, is (x2 + 1) / x > y?
(1) x=y
(2) y>0
Can someone please explain why the first statement is not sufficient? I know that the strategy tells us not to multiply by a variable if it is unclear whether the number it stands for is positive or negative. However, I don't see how the statement x=y is not sufficient since the square of a number is always positive regardless of its sign, and any number plus one is always greater than the number itself, so by knowing that x=y I know that (x2 + 1)>yx = (x2 + 1)>x2. Am I missing something? Please tell how my reasoning is flawed since according to the answer key it should be C.
If x≠0, is (x2 + 1) / x > y?
(1) x=y
(2) y>0
Can someone please explain why the first statement is not sufficient? I know that the strategy tells us not to multiply by a variable if it is unclear whether the number it stands for is positive or negative. However, I don't see how the statement x=y is not sufficient since the square of a number is always positive regardless of its sign, and any number plus one is always greater than the number itself, so by knowing that x=y I know that (x2 + 1)>yx = (x2 + 1)>x2. Am I missing something? Please tell how my reasoning is flawed since according to the answer key it should be C.
