Final answer:
The solution to the inequality 3m + 2 < 5 OR m + 1 > 4 is that m can be any number less than 1 or greater than 3.
Step-by-step explanation:
To solve the given inequality, we will solve each part separately:
- For the first part, 3m + 2 < 5, we subtract 2 from both sides to get 3m < 3. Then, we divide both sides by 3 and find that m < 1.
- For the second part, m + 1 > 4, we subtract 1 from both sides to get m > 3.
Since the original inequality uses 'OR', we combine the solutions of both parts. The solution is that m can be any number less than 1 or greater than 3.