Write the specified statement. State the contrapositive of the following:
If he is happy, then he is smiling.
I blieve that would be:
If he is not smiling, then he is not happy.
If P then Q
If not P then not Q
Should that subject not have been LOGIC instead of MATH
OOPS, I meant of course:
If P then Q
If not Q then not P
The specified statement is "If he is happy, then he is smiling."
To state the contrapositive of this statement, we need to negate both the hypothesis and the conclusion, and then swap their positions.
The negation of "he is happy" is "he is not happy", and the negation of "he is smiling" is "he is not smiling".
So, the contrapositive of the statement "If he is happy, then he is smiling" is "If he is not smiling, then he is not happy."