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Find the solution set

Source: 1971 AHSME Problem 8

April 18, 2014
AMC

Problem Statement

The solution set of 6x2+5x<46x^2+5x<4 is the set of all values of xx such that
<spanclass=′latex−bold′>(A)</span>−2<x<1<spanclass=′latex−bold′>(B)</span>−43<x<12<spanclass=′latex−bold′>(C)</span>−12<x<43<span class='latex-bold'>(A) </span>\textstyle -2<x<1\qquad<span class='latex-bold'>(B) </span>-\frac{4}{3}<x<\frac{1}{2}\qquad<span class='latex-bold'>(C) </span>-\frac{1}{2}<x<\frac{4}{3}\qquad
<spanclass=′latex−bold′>(D)</span>x<12 or x>−43<spanclass=′latex−bold′>(E)</span>x<−43 or x>12<span class='latex-bold'>(D) </span>x<\textstyle\frac{1}{2}\text{ or }x>-\frac{4}{3}\qquad<span class='latex-bold'>(E) </span>x<-\frac{4}{3}\text{ or }x>\frac{1}{2}
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