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12 October, 09:20

The sum of two consecutive odd integers is at least 16

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  1. 12 October, 09:40
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    Odd integers are represented by 2n+1 where n is a whole number

    consecutive odd are 2 apart so

    they are 2n+1 and 2n+1+2

    the sum of them is at least 16

    2n+1+2n+1+2>16

    4n+4>16

    minus 4

    4n>12

    divide 4

    n>3

    sub back

    2n+1 and 2n+3

    2 (3) + 1 and 2 (3) + 3

    6+1 and 6+3

    7 and 9

    they have to be at least 7 and 9
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