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  • 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.

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.

Answers (1)

Here, 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.

Now,

A conditional statement is said to be logically equivalent to its contrapositive.

Thus, -p → -q = If 8 is not greater than 6, then 7 is not greater than 5.

Thus, option (C) is the correct answer.

Posted by

infoexpert23

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