Solve the following compound inequality.

3x > - 15 and 6x < 18

Starting with the first inequality:

3x > -15

We can solve for x by dividing both sides by 3:

x > -5

Moving on to the second inequality:

6x < 18

We can solve for x by dividing both sides by 6:

x < 3

So the solution to the compound inequality is:

-5 < x < 3