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13 August, 13:37

Find all sets of two consecutive positive odd integers with a sum that is at least 8 and less than 24. Right an inequality for this problem and graph your solution

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  1. 13 August, 13:59
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    An odd integer is denoted by 2n+1 where n is an integer.

    First odd integer = 2n+1

    Next odd integer = 2n+3

    8 ≦ (2n+1) + (2n+3) < 24

    8 ≦ 2n+1+2n+3 < 24

    8 ≦ 4n+4 < 24

    Divide through by 4

    2 ≦ n+1 < 6

    Subtract 1 for all three sides:

    1 ≦ n < 5

    n ∈ {1,2,3,4}

    Answer: {2n+1, 2n+3} {1,3}, {3,5}, {5,7}, {7,9}, (9,11}
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