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Is p+q > r+s?

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Director
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Is p+q > r+s? [#permalink] New post 14 Dec 2006, 17:53
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A
B
C
D
E

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Is p+q > r+s?
1) p> r+s
2) q > r+s

EXPLAIN YOUR ANSWERS!!!!!
Manager
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 [#permalink] New post 14 Dec 2006, 17:56
C

Each statement alone is insufficent as the sign of q in 1 and p in 2 is unknown, but you can deduce from two statements that

p + q > 2 (r +s)
Director
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 [#permalink] New post 14 Dec 2006, 18:28
Thanks.
Quote:
p + q > 2 (r +s)

Was the 2 intentional? If so, what's the significance?
Senior Manager
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 [#permalink] New post 14 Dec 2006, 20:55
answer is E.

take p=q=r=s=-4

then both 1&2 hold, but stem doesn't

take p=q=10 r=s=4
then 1&2 hold and stem also...

hence insufficient.
Manager
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 [#permalink] New post 01 Jan 2007, 22:26
ok can't add inequalities with same sign if only rhs is same (see Honhgu post)
  [#permalink] 01 Jan 2007, 22:26
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