The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers Trans

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The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers

Translate this into an inequality.

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    2021-10-11T03:06:56+00:00

    The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers

    two consecutive even integers: n, n+2

    next two consecutive even integers n+4, n+6

    n+(n+2) >= 7+1/2(n+4 +n+6)

    combine like terms

    2n+2 >= 7 +1/2(2n+10)

    distribute 1/2

    2n+2 >= 7+n+5

    2n+2>= n+12

    subtract n from each side

    n+2>= 12

    subtract 2 from each side

    n>10

    4 integers : 10, 12 ,14, 16

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