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18 April, 04:34

Which answer represents the following conditional statement in shorthand? If it is not a fruit, then it is not an apple

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  1. 18 April, 05:47
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    The shorthand that represent the contrapositive statement is ~F → ~A

    Step-by-step explanation:

    The parameters given are;

    If it is not a fruit, then it is not an apple

    The above is a logic statement which can be rewritten as a conditional statement as follows;

    If something is an apple then it is a fruit

    Which gives

    If p then q

    Where:

    A = Apple

    F = Fruit

    Therefore, when we write;

    If something is not a fruit, then it is not an apple

    We have

    ~F → ~A

    Which is a contrapositive conditional statement

    The shorthand that represent the contrapositive statement is therefore, ~F → ~A.
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