Inequality Condition for Real Numbers

CAT 2000 Slot 1 · Quantitative Ability · Easy · Algebra

This is an easy Quantitative Ability question from the CAT 2000 Slot 1 paper. It tests Algebra. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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If $x > 2$ and $y > -1$ , then which of the following statements is necessarily true?

A.
$xy > -2$
B.
$-x < 2y$
C.
$xy < -2$
D.
$-x > 2y$

Answer

Explanation

Given $x > 2 \implies -x < -2$ . Also $y > -1 \implies 2y > -2$ . Comparing $-x < -2$ and $2y > -2$ , we get $-x < 2y$ .

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Inequality Condition for Real Numbers

Explanation

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