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x+1>\frac{1}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x>\frac{1}{2}-1
Subtract 1 from both sides.
x>\frac{1}{2}-\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
x>\frac{1-2}{2}
Since \frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.
x>-\frac{1}{2}
Subtract 2 from 1 to get -1.