1. The problem asks to express a set in both interval notation and set builder notation. 2. Interval notation describes all numbers between two endpoints, using brackets [ ] for inclusive and parentheses ( ) for exclusive. 3. Set builder notation describes a set by stating a property that its members satisfy, e.g., \{x \mid x > 2\} means all x such that x is greater than 2. 4. Without a specific set given, here are examples: - For all real numbers between 1 and 5 inclusive: Interval notation: $[1,5]$ Set builder notation: $\{x \mid 1 \leq x \leq 5\}$ - For all real numbers greater than 3: Interval notation: $(3, \infty)$ Set builder notation: $\{x \mid x > 3\}$ 5. To convert from one to the other, identify the range and whether endpoints are included or excluded, then write accordingly.