The inequality given is:
[tex]4x>32[/tex]We need to isolate x in order to graph the solution. We divide both sides by 4 and get:
[tex]\begin{gathered} 4x>32 \\ \frac{4x}{4}>\frac{32}{4} \\ x>8 \end{gathered}[/tex]The solution is x > 8, or x is anything and everything greater than 8. In a number line, it would look like this:
Note: the open circle at 8 tells us that 8 IS NOT INCLUDED. Makes sense, since the solution was x greater than 8, NOT x is equal to 8 and greater...
So, we drew an arrow showing the numbers greater than 8 but didn't include 8 by showing an open circle at 8.
If it was >=, greater than or equal to, then 8 would have been a closed circle.