I found this question in a practice test and am not able to comprehend the solution to the problem. The question is as follows:
Is x + y > 0 ?
(I) x² - y² > 1
(II) x/y + 1 > 0
I marked the answer as B using the following approach,
x/y + 1 > 0
x/y > -1
x > -y
x + y > 0
But the correct answer this E. Can someone please explain this? Thanks!
I am not solving the question since walker has already given you a very impressive logical solution and subhashghosh has shown the solution using 'plugging in numbers'.
But, let me add something here, "You multiply/divide an inequality by a number only if you know whether the number is negative or positive."
If the number is positive, fine. Just go ahead and do what you do in case of equations.
If the number is negative, there is no problem either but remember, you have to flip the inequality sign.
Given: x < y
Multiply by 5: 5x < 5y
Multiply by -5: -5x > -5y
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