Solve for x
x\leq -6
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\frac{1}{2}x-4+\frac{1}{3}x\leq -9
Add \frac{1}{3}x to both sides.
\frac{5}{6}x-4\leq -9
Combine \frac{1}{2}x and \frac{1}{3}x to get \frac{5}{6}x.
\frac{5}{6}x\leq -9+4
Add 4 to both sides.
\frac{5}{6}x\leq -5
Add -9 and 4 to get -5.
x\leq -5\times \frac{6}{5}
Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}. Since \frac{5}{6} is positive, the inequality direction remains the same.
x\leq -6
Multiply -5 times \frac{6}{5}.
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Limits
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