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800x\geq 600000-1200x
Use the distributive property to multiply 1200 by 500-x.
800x+1200x\geq 600000
Add 1200x to both sides.
2000x\geq 600000
Combine 800x and 1200x to get 2000x.
x\geq \frac{600000}{2000}
Divide both sides by 2000. Since 2000 is positive, the inequality direction remains the same.
x\geq 300
Divide 600000 by 2000 to get 300.