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3z-4z\leq -1
Subtract 4z from both sides.
-z\leq -1
Combine 3z and -4z to get -z.
z\geq \frac{-1}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
z\geq 1
Divide -1 by -1 to get 1.