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Is x > y? (1) x - y - 1 > 0 (2) x - y + 1 > 0
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21 Jan 2020, 04:28
21 Jan 2020, 04:28
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23%
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GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
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GMAT: QUANT+DI EXPERT
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WE:Education (Education)
Re: Is x > y? (1) x - y - 1 > 0 (2) x - y + 1 > 0
[#permalink]
21 Jan 2020, 04:54
21 Jan 2020, 04:54
Expert Reply
Bunuel
Is x > y?
(1) x - y - 1 > 0
(2) x - y + 1 > 0
(1) x - y - 1 > 0
(2) x - y + 1 > 0
Question: Is x > y?
STatement 1: x - y - 1 > 0
i.e. x > y+1
Since x is greater than even y+1 and y+1 > y, therefore, x essentially is greater than y as well i.e. x > y
SUFFICIENT
STatement 2: x - y + 1 > 0
i.e. x > y-1
@ y = 2, x may be 1.5 as well as 2.5 hence x may be greater or smaller than y hence
NOT SUFFICIENT
Answer: Option A
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Is x > y? (1) x - y - 1 > 0 (2) x - y + 1 > 0
[#permalink]
18 Mar 2020, 08:36
18 Mar 2020, 08:36
Expert Reply
Top Contributor
Bunuel
Is x > y?
(1) x - y - 1 > 0
(2) x - y + 1 > 0
(1) x - y - 1 > 0
(2) x - y + 1 > 0
Target question: Is x > y?
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
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