#### Answer

x:(-6, -1)

#### Work Step by Step

Our two inequalities are:
3x<4x+6
2x+1<15
For the first equation lets solve for x.
3x<4x+6 (Subtract both sides by 3x)
0-6
For the second equation, lets solve the second equation for x as well. We will do this by subtracting 1 and dividing by 2 to both sides of the equation. We get:
x<1
Now the only values of x that are in common with both inequalities are values between -6 and -1 (non inclusive).
So we can write our solution as x:(-6, -1)