How to write the contrapositive from a conditional statement

The video tutorial explains the concept of conditional statements, specifically focusing on the contrapositive form. It begins with a discussion on the conditional 'P then Q' and transitions into explaining the contrapositive 'not Q then not P'. The teacher uses a practical example involving fishing to illustrate these logical concepts, where 'P' is 'I go fishing' and 'Q' is 'I catch fish'. The contrapositive is demonstrated as 'If I don't catch any fish, then I did not go fishing'.

What is the basic form of a conditional statement discussed in the video?

• Not P then Q

• Q then P

• Not Q then P

• P then Q

What is the contrapositive of the statement 'P then Q'?

• P then not Q

• Not P then Q

• Not Q then not P

• Q then P

In the example given, what does 'not Q' represent?

• I did not go fishing

• I don't catch any fish

• I catch fish

• I go fishing

What is the contrapositive of 'I go fishing then I catch fish'?

• If I go fishing, then I don't catch fish

• If I don't catch any fish, then I did not go fishing

• If I did not go fishing, then I catch fish

• If I catch fish, then I go fishing

Which of the following is true about contrapositives?

• They reverse the order of the original statement

• They negate both parts of the original statement

• They are logically equivalent to the original statement

• They are always false if the original statement is true