Question: Express the interval shown on the number line in interval notation.
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
Open circle at 1 on the number line, with the green shaded ray extending to the right toward positive infinity; position_hint = center.
1. **State the problem:** We need to express the interval shown on the number line in interval notation.
2. **Analyze the number line:** There is an open circle at $1$, which means $1$ is not included in the interval.
3. **Direction of shading:** The green shaded ray extends to the right toward positive infinity, indicating all numbers greater than $1$ are included.
4. **Interval notation rules:**
- Use parentheses $($ or $)$ for open intervals (not including the endpoint).
- Use brackets $[$ or $]$ for closed intervals (including the endpoint).
- Use $\infty$ to represent infinity, always with parentheses since infinity is not a number.
5. **Write the interval:** Since $1$ is not included and the interval extends to positive infinity, the interval notation is:
$$ (1, \infty) $$
6. **Final answer:** The interval shown on the number line is $$ (1, \infty) $$.