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[ptraye]

P: If and only if a garden contains annual flowers will that garden be attractive to the bulk of tourists and generate significant revenue.


(A): (This garden does not generate significant revenue.)



C1: This garden is not attractive to the bulk of tourists.


C2: This garden does not contain annual flowers.

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The correct answer is C2, and that is what I chose. However, I'd like to know how the biconditional in this stimulus is represented?

Is it: AF <-----> A & G

If this is the biconditional, how does the opposite (or contrapositive) of this conditional look?

Thanks.

[tommywallach]

Hey Ptraye,

If you have this logic

A <--> B

Then you have both contrapositives as well:

~A <--> ~B

That's always true!

-t

[ptraye]

Tommy,

Because there is an AND in the outcome, does the biconditional have an AND in it, like the diagram above?

Thanks.

[tommywallach]

I see what you mean! Yes, AND usually changes to OR in the contrapositive, as in the simpler example:

Z --> X and Y

means contrapositive:

~X or ~Y --> Z

In this case, if:

X <--> Y and Z

Then we can contrapositive it as:

~X <--> ~Y or ~Z

Good point!

-t