Solve for w
w\geq 7
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-9w+7w-21\leq -35
Use the distributive property to multiply 7 by w-3.
-2w-21\leq -35
Combine -9w and 7w to get -2w.
-2w\leq -35+21
Add 21 to both sides.
-2w\leq -14
Add -35 and 21 to get -14.
w\geq \frac{-14}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
w\geq 7
Divide -14 by -2 to get 7.
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