Math

How many integers are common to the solution sets of both inequalities?
x+7≥3x
3x+4≤5x

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  1. x + 7 ≥ 3x
    x - 3x ≥ -7
    -2x ≥ -7
    x ≤ 7/2
    x ≤ 3.5

    3x + 4 ≤ 5x
    3x - 5x ≤ -4
    -2x ≤ -4
    x ≥ 2

    Therefore, the common solution is from 2 to 3.5, or
    2 ≤ x ≤ 3.5

    Hope this helps :3

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