We have to find the solution for 3(2m − 1) <= 4m + 7

3(2m − 1) <= 4m + 7

=> 6m − 3 <= 4m + 7

=> 6m - 4m <= 7 + 3

=> 2m <= 10

=> m <= 5

**The solution for the given inequality lies in the interval (-inf., 5]**

We have to find the solution for 3(2m − 1) <= 4m + 7

3(2m − 1) <= 4m + 7

=> 6m − 3 <= 4m + 7

=> 6m - 4m <= 7 + 3

=> 2m <= 10

=> m <= 5

**The solution for the given inequality lies in the interval (-inf., 5]**