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x<22\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{22\times 3}{2}
Express 22\times \frac{3}{2} as a single fraction.
x<\frac{66}{2}
Multiply 22 and 3 to get 66.
x<33
Divide 66 by 2 to get 33.