Let and be real numbers with

MATHEMATICS · Single correct · AoPS · Mathematics · Introduction to Inequalities · Introduction to Inequalities

Problem

Let pp and qq be real numbers with p>qp>q. If k<0k<0, which of the following is necessarily true? (a) kp>kqkp>kq (b) kp<kqkp<kq (c) The relation depends on the magnitude of kk (d) kp≥kqkp\ge kq

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