MathDB
Inequalities

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February 1, 2009
inequalities

Problem Statement

Given: x>0,y>0,x>y x > 0, y > 0, x > y and z\not \equal{} 0. The inequality which is not always correct is: (A)\ x \plus{} z > y \plus{} z \qquad(B)\ x \minus{} z > y \minus{} z \qquad(C)\ xz > yz <spanclass=′latex−bold′>(D)</span> xz2>yz2<spanclass=′latex−bold′>(E)</span> xz2>yz2 <span class='latex-bold'>(D)</span>\ \frac {x}{z^2} > \frac {y}{z^2} \qquad<span class='latex-bold'>(E)</span>\ xz^2 > yz^2
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