MathDB
2023 Individual #15

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April 26, 2023
2023 Individual

Problem Statement

Given that a>2ba>2b and b>2cb>2c and aa, bb, and cc are nonzero, which of the following statements must be true?
<spanclass=′latex−bold′>(A)</span>a+b>c<spanclass=′latex−bold′>(B)</span>a−c>0<spanclass=′latex−bold′>(C)</span>abc>0<spanclass=′latex−bold′>(D)</span>ab>2<spanclass=′latex−bold′>(E)</span>none of these<span class='latex-bold'>(A) </span> a+b>c\qquad<span class='latex-bold'>(B) </span> a-c>0\qquad<span class='latex-bold'>(C) </span> abc>0\qquad<span class='latex-bold'>(D) </span> \frac{a}{b}>2\qquad<span class='latex-bold'>(E) </span> \text{none of these}
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