SOLUTION: 1/6 x + 1/2 < 3(x+3)

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Question 118952: 1/6 x + 1/2 < 3(x+3)
Found 2 solutions by mayank, MathLover1:
Answer by mayank(15) About Me  (Show Source):
You can put this solution on YOUR website!
1/6x+1/2<3(x+3)
thus (x+3)/6<3x+9
thus (x+3)/6<(18x+54)/6
thus x+3<18x+54
thus x-18x<54-3
thus -17x<51
thus -x<3
thus x>3

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F6+%29x+%2B+1%2F2+%3C+3%28x%2B3%29

%281%2F6+%29x+%2B+1%2F2+%3C+3x%2B9
+1%2F2++-+9%3C+3x+-+%281%2F6+%29x+…..multiply both sides by 6

+6%281%2F2%29++-+9%2A6+%3C+6%2A3x+-+6%281%2F6+%29x+…..
+3++-+54+%3C+18x+-+1x+…..
+-+51+%3C+17x++…..
+-+51%2F17+%3C++x++…..or
++x+%3E+-+51%2F17++…..
++x+%3E+-+3…..