Solve for x
x\leq -\frac{7}{3}
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-3x+4\geq 11
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-3x\geq 11-4
Subtract 4 from both sides.
-3x\geq 7
Subtract 4 from 11 to get 7.
x\leq -\frac{7}{3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
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