Final answer:
To solve the compound inequality x + 5 ≥ 12 or x/9 > 0, we find that for the first part, x must be greater than or equal to 7.
Step-by-step explanation:
The compound inequality that needs to be solved is given by x + 5 ≥ 12 or x/9 > 0. To solve x + 5 ≥ 12, we subtract 5 from both sides of the inequality, yielding x ≥ 7. This is the solution for the first part of the compound inequality.
For the second part, since any number divided by 9 is greater than zero if the number itself is greater than zero, the solution to x/9 > 0 is simply x > 0. Combining the results of both inequalities, the solutions are all x ≥ 7, as well as all x > 0. However, since all x ≥ 7 include all x > 0, the final solution for the compound inequality is simply x ≥ 7.