Solve for x
x>7
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17400<1000x+16000-800x
Use the distributive property to multiply 800 by 20-x.
17400<200x+16000
Combine 1000x and -800x to get 200x.
200x+16000>17400
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
200x>17400-16000
Subtract 16000 from both sides.
200x>1400
Subtract 16000 from 17400 to get 1400.
x>\frac{1400}{200}
Divide both sides by 200. Since 200 is positive, the inequality direction remains the same.
x>7
Divide 1400 by 200 to get 7.
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