MathDB

16

Part of 1968 AMC 12/AHSME

Problems(1)

Which is True?

Source: 1968 AHSME Problem #16

9/7/2011
If xx is such that 1x<2\dfrac{1}{x}<2 and 1x>−3\dfrac{1}{x}>-3, then:
<spanclass=′latex−bold′>(A)</span> −13<x<12<spanclass=′latex−bold′>(B)</span> −12<x<3<spanclass=′latex−bold′>(C)</span> x>12<spanclass=′latex−bold′>(D)</span> x>12 or −13<x<0<spanclass=′latex−bold′>(E)</span> x>12 or x<−13<span class='latex-bold'>(A)</span>\ -\dfrac{1}{3}<x<\dfrac{1}{2} \qquad <span class='latex-bold'>(B)</span>\ -\dfrac{1}{2}<x<3 \qquad <span class='latex-bold'>(C)</span>\ x>\dfrac{1}{2} \qquad\\ <span class='latex-bold'>(D)</span>\ x>\dfrac{1}{2}\text{ or }-\dfrac{1}{3}<x<0 \qquad <span class='latex-bold'>(E)</span>\ x>\dfrac{1}{2}\text{ or }x<-\dfrac{1}{3}
AMC