To represent the inequality \( d > -4 \) on a number line, you would use a hollow circle at \(-4\) to indicate that \(-4\) is not included in the solution (since the inequality is greater than, not greater than or equal to). Then, you would draw an arrow extending to the right to show that all numbers greater than \(-4\) are included in the solution.
So, the correct description is:
hollow circle at −4, with an arrow extending to the right.