Final answer:
The compound inequality "4m < -44 OR m - 9 > 19" is solved by splitting it into two separate inequalities. The solution for 4m < -44 is m < -11, and the solution for m - 9 > 19 is m > 28. The final solution is the union of these, which gives m < -11 OR m > 28.
Step-by-step explanation:
To solve the compound inequality "4m < -44 OR m - 9 > 19", we divide the problem into two separate inequalities and solve them individually.
For the first inequality, 4m < -44, we divide each side by 4 to isolate m:
For the second inequality, m - 9 > 19, we add 9 to each side to isolate m:
Since these inequalities are connected by 'OR', the solution is the union of the two sets of numbers. Therefore, the solution to the compound inequality is m < -11 OR m > 28.