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4x+1>-3
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
4x>-3-1
Subtract 1 from both sides.
4x>-4
Subtract 1 from -3 to get -4.
x>\frac{-4}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x>-1
Divide -4 by 4 to get -1.