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    Hi all,

    Can anyone explain why this is true?

    Thank you!
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    Are these things you learn in Computer Science?
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    (Original post by londoncricket)
    Hi all,

    Can anyone explain why this is true?

    Thank you!
    Write them out.

    A=\{ 2, 4, 6, 8, 10, 12, 14, 16, ... \}
    B= \{ 2, 4, 6, 8, 10, 12, 14, 16, ... \}

    Since A=B we get that A \subseteq B is true.
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    The above is hardly rigorous.

    Prove that if n is even then n^2 is even. This should be trivial: n = 2m so n^2 = 2(2m^2).

    Hence if n \in A then n\in B so A \subset B.
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    (Original post by RDKGames)
    Write them out.

    A=\{ 2, 4, 6, 8, 10, 12, 14, 16, ... \}
    B= \{ 2, 4, 6, 8, 10, 12, 14, 16, ... \}

    Since A=B we get that A \subseteq B is true.
    (Original post by Zacken)
    The above is hardly rigorous.

    Prove that if n is even then n^2 is even. This should be trivial: n = 2m so n^2 = 2(2m^2).

    Hence if n \in A then n\in B so A \subset B.

    Thank you both! Completely understand it now!


    (Original post by Sabi120)
    Are these things you learn in Computer Science?
    Think so, it seems to be fairly important for computer science. This is a question from my degree, though, which is a mathematics and economics degree and this was in one of my maths modules this year.
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    (Original post by londoncricket)
    Thank you both! Completely understand it now!




    Think so, it seems to be fairly important for computer science. This is a question from my degree, though, which is a mathematics and economics degree and this was in one of my maths modules this year.
    Thanks for replying! I asked because i'm looking to a Computer Science degree next year hopefully and it looks similar to what I may need to learn
 
 
 
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