Set Theory And Logic

Inverse of the statement: The inverse of a statement "If

P

then

Q

" is:

%5Ctext%7BIf%20not%20%7D%20P%2C%20%5Ctext%7B%20then%20not%20%7D%20Q.

So, the inverse of the given statement "If

x%3Cy

, then

x%5E2%3Cy%5E2

" is:

%5Ctext%7BIf%20%7D%20x%20%5Cgeq%20y%2C%20%5Ctext%7B%20then%20%7D%20x%5E2%20%5Cgeq%20y%5E2.

Contrapositive of the statement: The contrapositive of a statement "If

P

then

Q

" is:

%5Ctext%7BIf%20not%20%7D%20Q%2C%20%5Ctext%7B%20then%20not%20%7D%20P.

So, the contrapositive of the given statement "If

x%3Cy

, then

x%5E2%3Cy%5E2

" is:

%5Ctext%7BIf%20%7D%20x%5E2%20%5Cgeq%20y%5E2%2C%20%5Ctext%7B%20then%20%7D%20x%20%5Cgeq%20y.

Chapter Questions
2 MCQs