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-5x+4\geq 34
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-5x\geq 34-4
Subtract 4 from both sides.
-5x\geq 30
Subtract 4 from 34 to get 30.
x\leq \frac{30}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
x\leq -6
Divide 30 by -5 to get -6.