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Determine whether the statement is true or false. Show or explain why.
If n is a natural number and 4 | n, then 8 | n.

  • Math -

    Ok, have seen this question several times.
    Have been ignoring it since I don't know what 4│n is supposed to mean.

    Does it mean "n is divisible by 4" ?

    Perhaps another math expert can confirm.

    If it means as I stated, then your question can be expressed to say,
    "If n is a natural number and n is divisible by 4, then n is divisible by 8"

    Of course that statement is false.
    e.g. n = 20
    (All I need is one exception to rule out a generality)

  • Math -

    Yes, it meant divisible by, or I am assuming so. That is how it was asked on paper. So, the answer isn't true.

  • Math -

    For future posts, n/8 = n divided by 8.

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