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Solve the inequality

Source: 1970 AHSME Problem 17

March 24, 2014
inequalitiesAMC

Problem Statement

If r≥0r\ge 0, then for all pp and qq such that pq≠0pq\neq 0 and pr>qrpr>qr, we have
<spanclass=′latex−bold′>(A)</span>−p>−q<spanclass=′latex−bold′>(B)</span>−p>q<spanclass=′latex−bold′>(C)</span>1>−q/p<span class='latex-bold'>(A) </span>-p>-q\qquad<span class='latex-bold'>(B) </span>-p>q\qquad<span class='latex-bold'>(C) </span>1>-q/p\qquad
<spanclass=′latex−bold′>(D)</span>1<q/p<spanclass=′latex−bold′>(E)</span>None of These<span class='latex-bold'>(D) </span>1<q/p\qquad <span class='latex-bold'>(E) </span>\text{None of These}
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