Solve for x
x\geq 300
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54x+31200-78x\leq 24000
Use the distributive property to multiply 78 by 400-x.
-24x+31200\leq 24000
Combine 54x and -78x to get -24x.
-24x\leq 24000-31200
Subtract 31200 from both sides.
-24x\leq -7200
Subtract 31200 from 24000 to get -7200.
x\geq \frac{-7200}{-24}
Divide both sides by -24. Since -24 is negative, the inequality direction is changed.
x\geq 300
Divide -7200 by -24 to get 300.
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