In the image, we are asked to identify the correct inequality that matches the number line diagram. Let's break it down:

1. Closed circle on -3: This indicates that the value at -3 is included in the solution set. Therefore, $x \geq -3$ (or $x \leq -3$) should be part of the inequality.

2. Open circle on 2: This indicates that the value at 2 is not included in the solution set, so $x < 2$ should be part of the inequality.

Thus, the solution is the inequality that includes $-3 \leq x < 2$, since the value of $x$ can be equal to -3 but less than 2.

Answer: The correct inequality is (d) $-3 \leq x < 2$.

Would you like further explanation on inequalities or this particular solution?

Here are 5 related questions to expand your understanding:

1. What is the difference between an open and a closed circle on a number line?
2. How do you graph inequalities on a number line?
3. What does it mean when an inequality includes "less than" or "greater than" without "equal to"?
4. Can you give an example of a compound inequality and solve it?
5. How would this inequality change if the open circle were on -3 and the closed circle on 2?

Tip: Always remember, a closed circle on a number line means the value is included (≤ or ≥), while an open circle means it is not (< or >).