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Math Help - List all the ordered pairs in the relation R = {(a, b) | a divides b}

  1. #1
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    List all the ordered pairs in the relation R = {(a, b) | a divides b}

    List all the ordered pairs in the relation
    R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6}.


    Why isn't every ordered pair combo of the set in the relation R? I thought every combo would be part of the relation. For example (2,3) is not in the relation. Why not?
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  2. #2
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    Re: List all the ordered pairs in the relation R = {(a, b) | a divides b}

    You may be misunderstanding "a divides b". When you are talking about integers, "a divides b" means "divides evenly". That is "a divides b" if and only if b/a is itself an integer. (2, 3) is not in the set because 2 does NOT divide 3. 3/2 is NOT an integer.
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    Re: List all the ordered pairs in the relation R = {(a, b) | a divides b}

    Oh okay! Thank you!
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