HPengineer wrote:If pq ≠0, is p2q > pq2?
(1) pq < 0
(2) p < 0
Love to see some other ways to work this one..
Other ways to work this one other than . . . what? You didn't give us one.
Statement 1: This tells us that either p or q is negative, but not both. This means that
(p^2)q and
p(q^2) are a negative number and a positive number, but we don't know which is which. If p is positive and q negative, the answer is no; if q is positive and p negative, the answer is yes. INSUFFICIENT
Statement 2: We know p is negative, but know nothing about q. If q is positive, the answer is yes. If q is negative, we end up with a positive times a negative on each side and no values for the variables to answer the question. INSUFFICIENT
TOGETHER, we know that p is negative and that pq<0, making q positive. This makes the expression on the left of the inequality positive for all values and the one on the right negative for all values. SUFFICIENT
