We need to graph on the number line the solution to the compounded inequality
In order to do so, let's work with each inequality separately. The final solution will be the union of the two solutions since it can be one "or" the other.
Step 1
Subtract 6 from both sides of the first inequality:
So, the solution to the first inequality is all real numbers less than 4 (not included). Therefore, we graph this solution using an empty circle:
Step 2
Add 3 to both sides of the second inequality, and then divide both sides by 2:
Thus, the solution to this inequality is all the real numbers greater than 6 (not included: empty circle):
Answer
Therefore, the solution to the compounded inequalities is the union of both solutions: