Verified Answer :

4w - 3 ≥ 33
     + 3  + 3
     4w ≥ 36
       4      4
       w ≥ 12

Solution Set: [12, ∞)

4w - 3 ≥ 33 equals w ≥ 9.

First,
add 3 to both sides. / Your problem should look like: 4w ≥ 33 + 3.
Second, simplify 33 + 3 to 36. / Your problem should look like: 4w ≥ 36.
Third, divide both sides by 4. / Your problem should look like: w ≥ \(\frac{36}{4}\) .
Fourth, simplify \(\frac{36}{4}\) to 9. / Your problem should look like: w ≥ 9, which is your answer.