Suppose a, b and c are real numbers such that (a/b)1 and (a/c)

Question

Suppose a, b and c are real numbers such that (a/b)>1 and (a/c)<0 . Which one of the following is true? (A)  a+b-c>0  (B)  a>b  (C)  (a-c)(b-c)>0  (D)  a+b+c>0

Tardigrade Admin · Accepted Answer

Given conditions are (a/b)>1 and (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.

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?

$a + b - c > 0$

$a > b$

$(a - c) (b - c) > 0$

$a + b + c > 0$

$ab c > 0$

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.

Q. Suppose a,b and c are real numbers such that ba​>1 and ca​<0 . Which one of the following is true?

a+b−c>0

a>b

(a−c)(b−c)>0

a+b+c>0

abc>0

Given conditions are ba​>1 and ca​<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.