The question presents an interval on a number line from $-2$ to $1$, where $-2$ is included (solid dot) and $1$ is not included (open circle). We need to select the inequality that accurately describes this interval.

The correct answer should reflect:

• Inclusion of $-2$ (indicated by $\leq$ or $\geq$),
• Exclusion of $1$ (indicated by $<$ or $>$).

Thus, the interval notation would be: $-2 \leq x < 1$

From the options provided, the correct answer is: $-2 \leq x < 1$

Would you like further details or explanations?

Here are five related questions for additional practice:

1. How would you represent the interval $-3 \leq x \leq 2$ on a number line?
2. What is the inequality for an interval that includes $0$ but excludes $3$?
3. How does interval notation differ from inequality notation?
4. How do you determine if a point is included or excluded on a number line?
5. What inequality represents all real numbers greater than or equal to $-4$?

Tip: Always pay attention to solid and open dots on number lines, as they indicate whether endpoints are included or excluded.