I will construct the converse, inverse and contra positive for statement that resembles first one.
Statement:
If I own a fish, then I own an animal.
This part:
I own a fish is called hypothesis; we can see it like
P = I own a fish
The second part
I own an animal is called conclusion. We can see it like
Q = I own an animal.
So the statement can look like
If P then Q.
Inverse (negate P and Q in place):
If not-P then not-Q:
If I DO NOT own a fish, then I DO NOT own an animal.
Converse ( change hypothesis and conclusion):
If Q then P:
If I own an animal, then I own a fish.
contrapositive (negate Q and negate P):
if not-Q then not-P:
If I DO NOT own and animal, then I DO NOT own a fish.
Truth: First and fourth are true the same time or second and third are true the same time.
I hope this helps. Send me a message if you have any questions.
