The question in the image asks you to select the interval $-18 \leq x < 28$ using both set notation and interval notation.

1. Set notation for the interval $-18 \leq x < 28$ is written as: $\{x \ | \ -18 \leq x < 28\}$ This means the set of all $x$ such that $x$ is between $-18$ and $28$, including $-18$ but not including $28$.

2. Interval notation for this range is: $[-18, 28)$ This indicates a closed interval at $-18$ (meaning it includes $-18$) and an open interval at $28$ (meaning it does not include $28$).

You would select:

• Set notation: $\{x \ | \ -18 \leq x < 28\}$
• Interval notation: $[-18, 28)$

Would you like more details or have any questions about these notations?

Here are 5 related questions to expand your understanding:

1. How would you write $-10 < x \leq 15$ in both set and interval notation?
2. What is the difference between open and closed intervals?
3. Can you explain when we use round and square brackets in interval notation?
4. How does interval notation change if both endpoints are included?
5. How can we represent unbounded intervals, such as when $x > 5$?

Tip: Always remember that closed intervals use square brackets $[ ]$ and open intervals use round brackets $( )$.