PQ or QP

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PQ or QP

by logitech » Fri Nov 28, 2008 1:45 am
If p < q and p < r, is (p)(q)(r) < p?
(1) pq < 0

(2) pr < 0

OA E
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by austin » Fri Nov 28, 2008 4:11 am
If p < q and p < r, is (p)(q)(r) < p?
(1) pq < 0
(2) pr < 0

q>p, r>p => q,r > p.. no relationship between q and r

1. pq < 0 => p < 0, q> 0. r can be positive or negative....
2. pr < 0 => p< 0, r > 0. q can be positive or negative...

combining, p<0, r>0, q>0
p = -1, r = 1, q = 1 (p)(q)(r) < p NO
p = -2, r = 1, q = 1 (p)(q)(r) < p NO
p = -2, r = 4, q = 2 (p)(q)(r) < p YES
Inconsistent
E