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9 December, 20:42

Read the proposition and the implication shown below. "If the lights are off, there is no one inside." Which statement is a contrapositive to the proposition and logically equivalent to it?

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  1. 9 December, 23:39
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    The contrapositive switches the hypothesis and the conclusion and negates both in this form:

    Statement: If A, then B

    Contrapositive: If not B, then not A.

    In this case, the statement is:

    "If the lights are off, there is no one inside."

    Contrapositive:

    If there is someone inside, the lights are on.
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