Let's go through each graph and write the corresponding inequality for each one:

1. Graph Description:

• The arrow starts from $-6$ and points to the right.
• The inequality has an open circle at $4$.

Inequality: $x < 4$

2. Graph Description:

• The arrow starts from $-30$ and points to the right.
• The inequality has a closed circle at $-10$.

Inequality: $x \geq -10$

3. Graph Description:

• The arrow starts from $-24$ and points to the right.
• The inequality has an open circle at $-12$.

Inequality: $x > -12$

4. Graph Description:

• The arrow starts from $-12$ and points to the right.
• The inequality has a closed circle at $-2$.

Inequality: $x \geq -2$

5. Graph Description:

• The arrow starts from $-30$ and points to the right.
• The inequality has an open circle at $10$.

Inequality: $x < 10$

6. Graph Description:

• The arrow starts from $-54$ and points to the right.
• The inequality has a closed circle at $0$.

Inequality: $x \leq 0$

7. Graph Description:

• The arrow starts from $-18$ and points to the right.
• The inequality has an open circle at $6$.

Inequality: $x < 6$

8. Graph Description:

• The arrow starts from $-2$ and points to the right.
• The inequality has a closed circle at $8$.

Inequality: $x \geq 8$

9. Graph Description:

• The arrow starts from $-36$ and points to the right.
• The inequality has an open circle at $12$.

Inequality: $x > 12$

10. Graph Description:

• The arrow starts from $-3$ and points to the right.
• The inequality has a closed circle at $3$.

Inequality: $x \geq 3$

Would you like further details on how to interpret inequalities or graphs?

Here are 5 related questions you might find helpful:

1. What is the difference between open and closed circles in inequality graphs?
2. How do you convert an inequality into a graph on a number line?
3. Can inequalities have more than one solution on a number line?
4. What is the process to solve compound inequalities?
5. How can we represent absolute value inequalities on a number line?

Tip: When writing inequalities from graphs, always observe whether the circle is open (indicating strict inequality, < or >) or closed (indicating inclusive inequality, ≤ or ≥).