If Johan completes his project, then he will visit the museum.

Which of these is logically equivalent to the given statement?

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.

Question

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

anonymous · Answer

The logical equivalent would be the opposite of the statement given, because he gets to go to the museum if he completes his project-> on the flipside, he does not go to the museum if he does not finish his project. 3rd option is correct. If A, then B. If not A, then B does not happen.