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Inequality

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Inequality

by hitmoss » Thu May 27, 2010 10:19 am
If w and c are integers, is w > 0?
(1) w + c > 50
(2) c > 48

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Solution please.
Hitmoss:)

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by Patrick_GMATFix » Thu May 27, 2010 10:33 am
Welcome hitmoss!

It's E.

(1) w could be + or - if c is a very large number
(2) says nothing about w.

Together:
if w=0 and c is 55, the original Q (is w > 0?) will be answered with a NO
if w=1 and c is 55, the original Q will be answered with a YES

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by asamaverick » Thu May 27, 2010 10:35 am
(1) w + c > 50. Not sufficient. W=10, c = 41. w= -1, c = 60. Both set satisfy this, but here w can be > 0 or < 0.
(2) C > 48. Again not sufficient. This along does not give any indication of the values that w can take.

Combining the two gives us:
W+c > 50 & c > 48.

Consider the following examples:
C = 49, w = 2 c = 55, w = -1

Again this is also not sufficient so say if w > 0.
So IMO the answer should be E.
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