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x<a<0

Source:

February 15, 2009
inequalities

Problem Statement

If x<a<0 x < a < 0 means that x x and a a are numbers such that x x is less than a a and a a is less than zero, then: <spanclass=′latex−bold′>(A)</span> x2<ax<0<spanclass=′latex−bold′>(B)</span> x2>ax>a2<spanclass=′latex−bold′>(C)</span> x2<a2<0 <span class='latex-bold'>(A)</span>\ x^2 < ax < 0 \qquad<span class='latex-bold'>(B)</span>\ x^2 > ax > a^2 \qquad<span class='latex-bold'>(C)</span>\ x^2 < a^2 < 0 <spanclass=′latex−bold′>(D)</span> x2>ax but ax<0<spanclass=′latex−bold′>(E)</span> x2>a2 but a2<0 <span class='latex-bold'>(D)</span>\ x^2 > ax\text{ but }ax < 0 \qquad<span class='latex-bold'>(E)</span>\ x^2 > a^2\text{ but }a^2 < 0
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