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

Answer 1

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 $p\to q$

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 $p\to q$ is given by ~q $\to$ ~p

$\therefore$ The Contrapositive of given statement is

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

$\therefore$Option (C) is correct.