Q. 27

# The contrapositive of the statement“If 7 is greater than 5, then 8 is greater than 6” isA. 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.

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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