What is the solution of 3(2m − 1) ≤ 4m + 7?

Expert Answers
justaguide eNotes educator| Certified Educator

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]

jueli | Student

3(2m-1)<=4m +7

6m - 3 <= 4m + 7

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

6m <= 4m + 10

6m - 4m <= 4m - 4m + 10

2m <= 10

m <= 5