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14 March, 00:15

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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  1. 14 March, 02:30
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    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."
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