Determine the inverse of the conditional statement: If the lengths of the sides of a rectangle are 6 inches and 4 inches, the area is 24 square inches.

Question

anonymous · Answer

Choices:
	A.	If the lengths of the sides of a rectangle are 6 inches and 4 inches, then the area is not 24 square inches.
	B.	If the lengths of the sides of a rectangle are not 6 inches and 4 inches, then the area is 24 square inches.
	C.	If the area is not 24 square inches, then the lengths of the sides of a rectangle are 6 inches and 4 inches.
	D.	If the lengths of the sides of a rectangle are not 6 inches and 4 inches, then the area is not 24 square inches.

aripotta · Answer

do you know what an inverse is?

anonymous · Answer

I would assume the opposite of an orginal statement, which would lead me to assume it's D?

aripotta · Answer

you're correct :)

anonymous · Answer

Cool, thanks!

anonymous · Answer

Question: So if a statement is true, its inverse may or may not be true? Or is it necessary that it be false to be an inverse?

aripotta · Answer

it may or may not be true. if you want to rewrite the conditional as a biconditional, then it would have to be true, but it doesn't have to be it you're just saying what it's inverse would be