Solve for x
x>\frac{9}{2}
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\frac{2}{3}x>12-9
Subtract 9 from both sides.
\frac{2}{3}x>3
Subtract 9 from 12 to get 3.
x>3\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}. Since \frac{2}{3} is positive, the inequality direction remains the same.
x>\frac{3\times 3}{2}
Express 3\times \frac{3}{2} as a single fraction.
x>\frac{9}{2}
Multiply 3 and 3 to get 9.
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Limits
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