Question

Write the contrapositive of the conditional statement illustrated by this Venn diagram.

If an animal is not a poodle, then it is a dog.
If an animal is not a dog, then it is a poodle.
If an animal is not a poodle, then it is not a dog.
If an animal is not a dog, then it is not a poodle.

the picture is in the reply box :)

Answer 1

For the contrapositive, you negate the statements, then switch the order.
That diagram says, If an animal is a poodle, then it is a dog.
Negating them creates, "if an animal is not a poodle, then it is not a dog"
Then you switch the order, so the answer is:
"If an animal is not a dog, it is not a poodle"

Answer 2

Basically, if you have a statement like, " If p then q", then the contrapositive is "If (not q) then (not p)"

Answer 3

thx :)