Q. 27

The contrapositive of the statement

“If 7 is greater than 5, then 8 is greater than 6” is
A. If 8 is greater than 6, then 7 is greater than 5.

B. If 8 is not greater than 6, then 7 is greater than 5.

C. If 8 is not greater than 6, then 7 is not greater than 5.

D. If 8 is greater than 6, then 7 is not greater than 5.

Answer :

In the contrapositive, a conditional statement is logically equivalent to its contrapositive.

Since,


p: 7 is greater than 5


~p: 7 is not greater than 5


q: 8 is greater than 6


~q: 8 is not greater than 6


Therefore,


~p ~q = If 8 is not greater than 6, then 7 is not greater than 5.

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