Solve for x
x<\frac{270}{13}
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400x+900x+3000<30000
Use the distributive property to multiply 300 by 3x+10.
1300x+3000<30000
Combine 400x and 900x to get 1300x.
1300x<30000-3000
Subtract 3000 from both sides.
1300x<27000
Subtract 3000 from 30000 to get 27000.
x<\frac{27000}{1300}
Divide both sides by 1300. Since 1300 is positive, the inequality direction remains the same.
x<\frac{270}{13}
Reduce the fraction \frac{27000}{1300} to lowest terms by extracting and canceling out 100.
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