What is the inverse of the statement "If I do not buy a ticket, then I do not go to the concert"? If I buy a ticket, then I go to the concert. If I do not go to the concert, then I do not buy a ticket. If I buy a ticket, then I do not go to the concert. If I go to the concert, then I buy a ticket.

Question

Semaj Morris

Mathematics

28 October, 04:07

What is the inverse of the statement "If I do not buy a ticket, then I do not go to the concert"? If I buy a ticket, then I go to the concert. If I do not go to the concert, then I do not buy a ticket. If I buy a ticket, then I do not go to the concert. If I go to the concert, then I buy a ticket.

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Answers (1)

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Kasen Conrad · Answer 1

Answer-

The inverse of the statement "If I do not buy a ticket, then I do not go to the concert" is "If I buy a ticket, then I go to the concert."

Solution-

In order to form the inverse of any conditional statement, we have to take the negation of both the hypothesis and the conclusion.

In this case, the hypothesis is, "if I do not buy a ticket"

And the the conclusion is, "then I do not go to the concert"

The negation of the hypothesis would be - "if I buy a ticket",

And the negation of the conclusion would be - "then I go to the concert"

Therefore, the inverse of the statement "If I do not buy a ticket, then I do not go to the concert" is "If I buy a ticket, then I go to the concert."