PeepalTree wrote:

If\(a>b\) and \(c<d\), which of the following MUST be true?

A. \(a−d>c−b\)

B. \(a+d>b\)

C. \(b+c>a−d\)

D. \(b−d<a−c\)

E. \(a^2+d^2>b^2+c^2\)

Note:- You can only apply subtraction when the inequality signs are in the opposite directions.

(take the sign of the inequality you subtract from)We can write \(a>b\) as \(b<a\)----(1)

Also, we can write \(c<d\) as \(d>c\) ---------(2)

Since (1) and (2) bear opposite sign of inequality, hence we can subtract (2) from (1),

\(b-d < a-c\)

Ans. (D)

_________________

Regards,

PKN

Rise above the storm, you will find the sunshine