The solution to the inequality \( x \ge -6 \) includes all numbers greater than or equal to \(-6\).
When graphed on a number line, this is represented by a closed circle at \(-6\) (indicating that \(-6\) is included in the solution) with a shaded arrow extending to the right (indicating all numbers greater than \(-6\)).
So the correct response is:
closed circle at −6 with shaded arrow to the right.