Respuesta :

-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