Interval Notation 25Dd10

1. **State the problem:** We want to express the set $$S = \{x \mid 0 \leq x < 3\}$$ in interval notation. 2. **Recall interval notation rules:** - A closed bracket \([\) means the endpoint is included. - An open bracket \(()\) means the endpoint is excluded. 3. **Analyze the set:** - The inequality $$0 \leq x$$ means $$x$$ includes $$0$$, so the left endpoint is closed. - The inequality $$x < 3$$ means $$x$$ does not include $$3$$, so the right endpoint is open. 4. **Write the interval notation:** - Combining these, the interval notation is $$[0, 3)$$. **Final answer:** $$[0, 3)$$