Q. 28

The converse of the statement

“If x > y, then x + a > y + a” is
A. If x < y, then x + a < y + a.

B. If x + a > y + a, then x > y.

C. If x < y, then x + a > y + a.

D. If x > y, then x + a < y + a.

Answer :

A conditional statement is not logically equivalent to its converse.

Since,


p: x>y


q: x+a > y+a


Therefore,


p q


Converse of the above statement is q p is


Therefore, if x+a >y+a then x>y

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