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-6x\geq 11-5
Subtract 5 from both sides.
-6x\geq 6
Subtract 5 from 11 to get 6.
x\leq \frac{6}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
x\leq -1
Divide 6 by -6 to get -1.