SOLUTION: x-10/6 >= x-5/9 + 7/18

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Question 1145168: x-10/6 >= x-5/9 + 7/18
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x-10%2F6+%3E=+x-5%2F9+%2B+7%2F18
-10%2F6+%3E=+-5%2F9+%2B+7%2F18
Multiply by 18
-30+%3E=+-10+%2B+7
-30+%3E=+-3
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No solution

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
x-10/6 >= x-5/9 + 7/18
You didn't put in any parentheses so there is no way for us to tell what's
in the numerators.  The way you have it means

x-10%2F6+%3E=+x-5%2F9+%2B+7%2F18

and if we subtract x from both sides, there are no variables.

-10%2F6+%3E=+-5%2F9+%2B+7%2F18

which becomes

-5%2F3+%3E=+-1%2F6

But that's false, so I know you didn't mean what you wrote.

Did you mean parentheses around x-10 and x-5, like this?

(x-10)/6 >= (x-5)/9 + 7/18

If so that would mean this:

%28x-10%29%2F6+%3E=+%28x-5%29%2F9+%2B+7%2F18

Multiply through by the LCD of 18

18%2A%28%28x-10%29%2F6%29+%3E=+18%2A%28%28x-5%29%2F9%29+%2B+18%2A%287%2F18%29

3%28x-10%29+%3E=2%28x-5%29%2B7

Solve that just like an equation.

Edwin