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Question

The contrapositive of the statement "If 7 is greater than 5, then 8 is greater than 6" is

A
If 8 is not greater than 6, then 7 is greater than 5.
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B
If 8 is not greater than 6, then 7 is not greater than 5.
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C
If 8 is greater than 6, then 7 is not greater than 5.
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D
If 8 is greater than 6, then 7 is greater than 5.
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Solution

The correct option is B If 8 is not greater than 6, then 7 is not greater than 5.
Given statement: "If 7 is greater than 5, then 8 is greater than 6"

Let p: 7 is greater than 5

q: 8 is greater than 6

Given statement is pq

Since negation of a statement conveys the opposite meaning.

~p: 7 is not greater than 5.

~q: 8 is not greater than 6.

Since contrapositive of pq is given by ~q ~p

The Contrapositive of given statement is

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

Option (C) is correct.




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