The image shows a question asking to describe the interval depicted on a number line. Here's the analysis:

The number line has the following:

1. The interval starts at $-\infty$ and extends up to 10.
2. The number 10 is included in the interval (closed at 10, indicated by a solid dot).
3. The interval is open toward negative infinity, meaning it is unbounded on the left.

The correct answer is: $x \in (-\infty; 10]$

Let me know if you need further clarification!

5 Related Questions:

1. What is the difference between open and closed intervals?
2. How do you represent intervals on a number line?
3. How do you convert inequalities into interval notation?
4. What are the uses of interval notation in mathematics?
5. How do you write an interval that excludes both endpoints?

Tip:

Always check whether a point is included or excluded in an interval by observing the type of marker: a solid dot includes it, and an open circle excludes it.