Question

What is the converse of the conditional statement?

"If Shawn solves the case, then Gus buys the churros."
A) If Shawn does not solve the case, then Gus does not buy the churros.
B) If Gus buys the churros, then Shawn solves the case.
C) If Gus does not buy the churros, then Shawn does not solve the case.
D) If Shawn solves the case, then Gus buys the churros.

Answer 1

What do you know about converse and inverse statements?

Answer 2

Not really

Answer 3

We usually think of the original statement in this form: p -> q
Which you can read as "if p, then q" or "p implies q"

So for this statement we have:
p = Shawn solving the case
q = Gus buys churros

Converse is like the .. reverse of the original statement: q -> p

Answer 4

You're just switching the order of the "pieces",
we're not negating them or anything like that.

Answer 5

So we're not looking at any of the options which have "not" in them.
That would involve a negation.

What do you think? :)
Any ideas?

Answer 6

That^ is not related to the question and should be removed.

Original: p->q
Converse: q->p
Inverse: -p->-q
Contrapositive: -q->-p

Answer 7

Just to add onto what Zep said. :)

Answer 8

The Original and Contrapositive are `logically equivalent`.
Just something to keep in mind in case it comes up in another problem :)

If Original is false,
Then Contrapositive is also false.

If Original is a true statement,
Then Contrapositive is also a true statement.

Not relevant to this problem though ^^

Answer 9

so its b?

Answer 10

yes good job c: