Question

let set F be all the months in the fall semester (that means from august to December). Let set S be all in the spring semester (that mean January to may). Write a set to denote FUS

Answer 1

To denote the union of set \( F \) (the months in the fall semester) and set \( S \) (the months in the spring semester), we can first define the two sets:

- Set \( F = \{ \text{August}, \text{September}, \text{October}, \text{November}, \text{December} \} \)
- Set \( S = \{ \text{January}, \text{February}, \text{March}, \text{April}, \text{May} \} \)

The union of sets \( F \) and \( S \), denoted as \( F \cup S \), combines all the elements from both sets without duplication.

Therefore, the union can be expressed as:

\[
F \cup S = \{ \text{August}, \text{September}, \text{October}, \text{November}, \text{December}, \text{January}, \text{February}, \text{March}, \text{April}, \text{May} \}
\]

This set represents all the months from both the fall and spring semesters.