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\frac{37}{120}x\geq 600
Expand \frac{3.7}{12} by multiplying both numerator and the denominator by 10.
x\geq 600\times \frac{120}{37}
Multiply both sides by \frac{120}{37}, the reciprocal of \frac{37}{120}. Since \frac{37}{120} is positive, the inequality direction remains the same.
x\geq \frac{600\times 120}{37}
Express 600\times \frac{120}{37} as a single fraction.
x\geq \frac{72000}{37}
Multiply 600 and 120 to get 72000.