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OA - E. Could someone please explain as to how to tackle such inequality questions. Thanks!

Two approaches: Approach 1: 1-(x-y)/(x+y) < 0 or 2y/(x+y) < 0 or y/(x+y)<0.

Possible conditions: y < 0 and (x+y) > 0 or y > 0 and (x+y) < 0.

Looking at both statements, we do not get the above conditions. Hence, E.

Approach 2: What we need to find out is whether (x-y) is greater than (x+y).

From stmt1, we know that x is positive. But, no clue about y. y can be positive or negative and accordingly, (x-y) could be greater than, euqal to or less than (x+y). Hence, insufficient.

From stmt2, similar explanation.

Combining the two, x is positive and y is negative. But, we do not know whether in absolute terms, x is more than y. Hence, (x-y) will be positive, but (x+y) could be positive or negative depending on whether y is smaller than x or not in absolute value. Hence, insufficient.