MathDB

Let

a

a'

b

, and

b'

be real numbers with

a

and

a'

nonzero. The solution to ax \plus{} b \equal{} 0 is less than the solution to a'x \plus{} b' \equal{} 0 if and only if

<span class='latex-bold'>(A)</span>\ a'b < ab' \qquad <span class='latex-bold'>(B)</span>\ ab' < a'b \qquad <span class='latex-bold'>(C)</span>\ ab < a'b' \qquad <span class='latex-bold'>(D)</span>\ \frac {b}{a} < \frac {b'}{a'}

<span class='latex-bold'>(E)</span>\ \frac {b'}{a'} < \frac {b}{a}

Problem Statement