Let . Which inequality correctly compares and…

MATHEMATICS · Single correct · AoPS · Mathematics · Introduction to Inequalities · Introduction to Inequalities

Problem

Let

-6 < p < -2

. Which inequality correctly compares

\dfrac{1}{p}

and

\dfrac{1}{-6}

? (a)

\dfrac{1}{p} = \dfrac{1}{-6}

(b)

\dfrac{1}{p} < \dfrac{1}{-6}

(c)

\dfrac{1}{p} > \dfrac{1}{-6}

(d) Comparison is impossible without the exact value of

p