-4h + 3 + 7h ≥ 9h - 21
combining similar terms,
(-4h + 7h) + 3 ≥ 9h - 21
3h + 3 ≥ 9h - 21
3h is adding on the left, then it will subtract on the right.
21 is subtracting on the right, then it will add on the left.
3 + 21 ≥ 9h - 3h
24 ≥ 6h
6 is multiplying on the right, then it will divide on the left.
24/6 ≥ h
4 ≥ h
We can check the answer replacing with a value wich is a solution and another value wich is not. For example, with h = 3, we get:
-4*3 + 3 + 7*3 ≥ 9*3 - 21
-12 + 3 + 21 ≥ 27 - 21
12 ≥ 6
This result confirm that h = 3 is a solution.
Substituting with h = 5, we get:
-4*h + 3 + 7h ≥ 9h - 21