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26 February, 17:20

Write the negation, contrapositive, converse, and inverse for the following statement. (Assume that all variables represent fixed quantities or entities, as appropriate.) If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.

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  1. 26 February, 19:44
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    Step-by-step explanation:

    Given is a statement as

    If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.

    Negation:

    If n is not divisible by 6, then n is not divisible by 2 and n is not divisible by 3.

    Contrapositive:

    If a number n is not divisible by 2 and 3, then n is not divisible by 6.

    Converse:

    If n is divisible by 2 and n is divisible by 3, then n is divisible by 6

    Inverse:

    If n is not divisible by 6, then n is not divisible by 2 and n is not divisible by 3.
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