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Mathematics 27 Online
OpenStudy (anonymous):

Which of these is logically equivalent to the given statement? If Johan completes his project, then he will visit the museum.

Parth (parthkohli):

I am pretty sure that we have a contrapositive, and that is the answer.

Parth (parthkohli):

What are the choices, just for perfection?

OpenStudy (anonymous):

If Johan visits the museum, then he did not complete his project. If Johan completes his project, then he will not visit the museum. If Johan did not visit the museum, then he did not complete his project. If Johan did not complete his project, then he will visit the museum.

Parth (parthkohli):

The statement If P then Q. The contrapositive If not Q then not P.

OpenStudy (anonymous):

i think its the last one

Parth (parthkohli):

Naw

OpenStudy (anonymous):

c?

Parth (parthkohli):

Trivia so that you could impress your teacher. Given a statement \(p \Rightarrow q\), the contrapositive is \(\neg q \Rightarrow \neg p\)

Parth (parthkohli):

Yep

OpenStudy (anonymous):

great thanks

Parth (parthkohli):

You're welcome!

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