inequality graph

Question

choose the inequality below that x=0 is a solution to.

 

I cant figure out the answer and the graphing. the answer are zero or -4 on the line graph and then the open and closed circle.

Answer 1

For most points on a line graph, it's easy to tell whether they're solutions or not. Any point in a shaded area is a solution, while any point that's not in a shaded area isn't a solution.

 

Sometimes, though, a point is right on the boundary between the solutions and non-solutions. In that case, we shade it in (closed circle) to indicate that it's a solution and we leave it unshaded (open circle) to indicate that it's not a solution.

 

So, you're looking for a line graph where x = 0 is either shaded in or marked by a closed circle.