If x+y>5 and x-y>3, then which of the following given all and only possible values of x?

If x+y>5 and x-y>3, then which of the following given all and only possible values of x?

A x<3

B x>3

C x>4

D x<5

Solution

Correct Answer: Option C

x+y>5-----(1)

x-y>3-------(2)

(1) + (2)

2x>8

x>4