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Math 116

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Solve 3(3-8x)+5<2(9+6x)

Use set builder notion to describe the solution?

I got x=9/31 is this correct???

  • Math 116 -

    3(3-8x)+5<2(9+6x)
    Expand both sides:
    9-24x+5 < 18+12x
    Add 24x to each side:
    14 < 36x+18
    Subtract 18 from each side:
    -4 < 36x
    Change sides:
    36x>-4
    x>1/9

    Solution set:
    {x : x>1/9}

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