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19 Oct 2021, 07:03
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
60% (01:44) correct
40%
(01:22)
wrong
based on 90
sessions
History
Date
Time
Result
Not Attempted Yet
Is x + y < 0?
(1) 5x + 11y < 0
(2) 4x + 10y < 0
(1) 5x + 11y < 0
(2) 4x + 10y < 0
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19 Oct 2021, 16:24
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BrentGMATPrepNow
No takers??
Okay, here's my solution...
Target question: Is x + y < 0?
I created this question to highlight an important property of inequalities.
If two inequalities are such that their inequality symbols are facing the same direction, then we can ADD those inequalities, but we can't subtract those inequalities
In other words, we can't subtract the bottom inequality from the top inequality to get the very convenient inequality x + y < 0
Since each statement alone seems insufficient, I'm going to jump straight to....
Statements 1 and 2 combined
Statement 1 tells us that 5x + 11y < 0
Statement 2 tells us that 4x + 10y < 0
There are several values of x and y that satisfy BOTH inequalities. Here are two:
Case a: x = -1 and y = -1. In this case, x + y = (-1) + (-1) = -2, which means the answer to the target question is YES, x + y is less than zero
Case b: x = 5 and y = -3. In this case, x + y = 5 + (-3) = 2, which means the answer to the target question is NO, x + y is not less than zero
Since we can’t answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
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12 Jun 2023, 13:00
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