Final answer:
To find the solution set to the given inequality, subtract 5m from both sides, then subtract 2 from both sides to isolate the variable m. The solution is m < -6.
Step-by-step explanation:
To find the solution set to the given inequality, 6m + 2 < 5m - 4, we need to isolate the variable m on one side of the inequality sign. Step-by-step, subtracting 5m from both sides of the inequality gives us: 6m - 5m + 2 < 5m -5m - 4 → m + 2 < -4. Then, subtracting 2 from both sides gives us: m + 2 - 2 < -4 - 2 → m < -6. So, the solution set for the inequality is m < -6.