Subjects algebra

Interval Notation F2Deb0

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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 $$ (1, \infty) $$.