A solid dot on the graph of an inequality indicates that the number is contained within the inequality, so yo should use [tex] \leq [/tex] or [tex] \geq [/tex] to represent that situation, whereas a white dot indicates that the number is not contained within the inequality.
Our graph is telling us that [tex]x[/tex] is greater or equal than -1, and also [tex]x[/tex] is less than 3. So our inequality will be:
[tex]-1 \leq x \leq 3[/tex]
