MathDB

44

Part of 1958 AMC 12/AHSME

Problems(1)

Conclusion From Statements

Source:

6/13/2009
Given the true statements: (1) If a a is greater than b b, then c c is greater than d d (2) If c c is less than d d, then e e is greater than f f. A valid conclusion is: <spanclass=′latex−bold′>(A)</span> If a is less than b, then e is greater than f<spanclass=′latex−bold′>(B)</span> If e is greater than f, then a is less than b<spanclass=′latex−bold′>(C)</span> If e is less than f, then a is greater than b<spanclass=′latex−bold′>(D)</span> If a is greater than b, then e is less than f<spanclass=′latex−bold′>(E)</span> none of these <span class='latex-bold'>(A)</span>\ \text{If }{a}\text{ is less than }{b}\text{, then }{e}\text{ is greater than }{f}\qquad \\ <span class='latex-bold'>(B)</span>\ \text{If }{e}\text{ is greater than }{f}\text{, then }{a}\text{ is less than }{b}\qquad \\ <span class='latex-bold'>(C)</span>\ \text{If }{e}\text{ is less than }{f}\text{, then }{a}\text{ is greater than }{b}\qquad \\ <span class='latex-bold'>(D)</span>\ \text{If }{a}\text{ is greater than }{b}\text{, then }{e}\text{ is less than }{f}\qquad \\ <span class='latex-bold'>(E)</span>\ \text{none of these}