Solve for x
x<0
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-\frac{1}{6}x>6x
Combine \frac{1}{3}x and -\frac{1}{2}x to get -\frac{1}{6}x.
-\frac{1}{6}x-6x>0
Subtract 6x from both sides.
-\frac{37}{6}x>0
Combine -\frac{1}{6}x and -6x to get -\frac{37}{6}x.
x<0
Product of two numbers is >0 if both are >0 or both are <0. Since -\frac{37}{6}<0, x must be <0.
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