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4.7x\geq 11.44+448
Add 448 to both sides.
4.7x\geq 459.44
Add 11.44 and 448 to get 459.44.
x\geq \frac{459.44}{4.7}
Divide both sides by 4.7. Since 4.7 is positive, the inequality direction remains the same.
x\geq \frac{45944}{470}
Expand \frac{459.44}{4.7} by multiplying both numerator and the denominator by 100.
x\geq \frac{22972}{235}
Reduce the fraction \frac{45944}{470} to lowest terms by extracting and canceling out 2.