The number line shown in the image represents an interval of values for $x$ from $-2$ to $1$, inclusive. This is indicated by the solid circles at both ends, meaning both endpoints are included in the solution set.

Therefore, the integer values of $x$ that satisfy the inequality shown on the number line are: $-2, -1, 0, 1$

Would you like further explanation or have any other questions?

Here are 5 related questions that could deepen understanding:

1. How would the solution change if one of the endpoints had an open circle?
2. What are the integer values if the interval only included values greater than $-2$ and less than $1$?
3. How do you represent the interval $[-2, 1]$ in inequality notation?
4. Can you list all possible integer values for $x$ if the interval was from $-3$ to $2$ inclusive?
5. How would you solve if you were only given the inequality $-2 \leq x \leq 1$ without the number line?

Tip: When interpreting a number line, closed (solid) dots indicate that the endpoint is included (inclusive), while open dots indicate that it is not included (exclusive).