Is w less than y?
(1) 1.3 < w < 1.3101
(2) 1.3033 < y
The OA is the option E.
Are not sufficient both statements together? Why not? Please, someone, clarify this for me.
Source: Manhattan GMAT
Is w less than y?
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Target question: Is w less than y?VJesus12 wrote:Is w less than y?
(1) 1.3 < w < 1.3101
(2) 1.3033 < y
Statement 1: 1.3 < w < 1.3101
Since we have no information about y, there's no way to determine whether w is less than y
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: 1.3033 < y
Since we have no information about w, there's no way to determine whether w is less than y
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
There are several values of w and y that satisfy BOTH statements. Here are two:
Case a: w = 1.302 and y = 1.304. In this case, the answer to the target question is YES, w IS less than y
Case b: w = 1.31 and y = 1.304. In this case, the answer to the target question is NO, w is NOT less than y
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent