1. Tardigrade
  2. Question
  3. Mathematics
  4. Suppose a, b and c are real numbers such that (a/b)>1 and (a/c)<0 . Which one of the following is true?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Suppose $a, b$ and $c$ are real numbers such that $ \frac{a}{b}>1 $ and $ \frac{a}{c}<0 $ . Which one of the following is true?

KEAMKEAM 2008Linear Inequalities

Solution:

Given conditions are
$ \frac{a}{b}>1 $ and $ \frac{a}{c}<0 $ 1. $ a>0 $ iff $ c<0 $ and also $ b>0 $ 2. $ a<0 $ iff $ c>0 $ and also $ b<0 $
Hence, option satisfy the inequality.