# 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
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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