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95x>900\times \frac{75}{100}
Multiply 45 and 20 to get 900.
95x>900\times \frac{3}{4}
Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.
95x>\frac{900\times 3}{4}
Express 900\times \frac{3}{4} as a single fraction.
95x>\frac{2700}{4}
Multiply 900 and 3 to get 2700.
95x>675
Divide 2700 by 4 to get 675.
x>\frac{675}{95}
Divide both sides by 95. Since 95 is positive, the inequality direction remains the same.
x>\frac{135}{19}
Reduce the fraction \frac{675}{95} to lowest terms by extracting and canceling out 5.