Solve the system of inequalities: 4x + 11 > x + 5 and 8x - 6 < 5x + 9

Step 1: Solve the first inequality:

4x + 11 > x + 5

3x > -6

x > -2

Step 2: Solve the second inequality:

8x - 6 < 5x + 9

3x < 15

x < 5

Step 3: Combine the solutions:

The solution is the intersection of x > -2 and x < 5, which is -2 < x < 5.