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27500+500x\geq 40000
Multiply 550 and 50 to get 27500.
500x\geq 40000-27500
Subtract 27500 from both sides.
500x\geq 12500
Subtract 27500 from 40000 to get 12500.
x\geq \frac{12500}{500}
Divide both sides by 500. Since 500 is positive, the inequality direction remains the same.
x\geq 25
Divide 12500 by 500 to get 25.