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4.7x\geq 11.4+5.8
Add 5.8 to both sides.
4.7x\geq 17.2
Add 11.4 and 5.8 to get 17.2.
x\geq \frac{17.2}{4.7}
Divide both sides by 4.7. Since 4.7 is positive, the inequality direction remains the same.
x\geq \frac{172}{47}
Expand \frac{17.2}{4.7} by multiplying both numerator and the denominator by 10.