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3x+4>31
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
3x>31-4
Subtract 4 from both sides.
3x>27
Subtract 4 from 31 to get 27.
x>\frac{27}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x>9
Divide 27 by 3 to get 9.