Official Solution
Steps 1 & 2: Understand Question and Draw Inferences
To Find : Is, x+ y > 0?
Step 3: Analyze Statement 1 independently
- (1) xy > 0
•Tells us that x and y have the same sign.
- oIf x, y > 0, x+ y > 0
oIf x, y < 0, x+ y < 0
Insufficient to answer.
Step 4: Analyze Statement 2 independently /color]
)\(x^3y^2>0\)
- •As \(y^2≥0\) for all possible values of y, for \(x^3y^2>0\), \(x^3>0\). So, \(x > 0\)
•Also, since the product of \(x^3\) and \(y^2\) is strictly greater than 0, we can be sure that y is non-zero.
•However, we do not know if y is positive or negative.
•Therefore, we cannot tell is x + y will be positive or negative
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