Solve for a
a\geq 18
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2000a+120000-3000a\leq 102000
Use the distributive property to multiply 3000 by 40-a.
-1000a+120000\leq 102000
Combine 2000a and -3000a to get -1000a.
-1000a\leq 102000-120000
Subtract 120000 from both sides.
-1000a\leq -18000
Subtract 120000 from 102000 to get -18000.
a\geq \frac{-18000}{-1000}
Divide both sides by -1000. Since -1000 is negative, the inequality direction is changed.
a\geq 18
Divide -18000 by -1000 to get 18.
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