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Is x > y?
(1) x - y - 1 > 0
(2) x - y + 1 > 0
Answer: A
Source: Magoosh
(1) x - y - 1 > 0
(2) x - y + 1 > 0
Answer: A
Source: Magoosh
Target question: Is x > y?BTGModeratorVI wrote: ↑Sat May 16, 2020 7:33 amIs x > y?
(1) x - y - 1 > 0
(2) x - y + 1 > 0
Answer: A
Source: Magoosh
Statement 1: x - y - 1 > 0
Add y and add 1 to both sides to get: x > y + 1
Since we can also say that y + 1 > y for all values of y, we can write: x > y + 1 > y
At this point, we can see that x > y
The answer to the target question is YES, x is greater than y
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: x - y + 1 > 0
Add y to both sides to get: x + 1 > y
There are several values of x and y that satisfy the inequality x + 1 > y. Here are two:
Case a: x = 10 and y = 0. In this case, the answer to the target question is YES, x is greater than y
Case b: x = 0.5 and y = 1. In this case, the answer to the target question is NO, x is not greater than y
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
