Problem 23 - College Algebra Essentials

Question

Find the intersection of the sets. $$\\{s, e, t\\} \cap\\{t, e, s\\}$$

Step-by-Step Solution

Answer

The intersection of the sets \(\{s, e, t\}\) and \(\{t, e, s\}\) is \(\{s, e, t\}\).

Step 1: Identify the given sets

The sets provided in the problem are \(\{s, e, t\}\) and \(\{t, e, s\}\). Prior to performing any operations, these sets are examined.

Step 2: Identify common elements

The common elements of the two sets are found by pinpointing elements that occur in both. In this case, the elements 's', 'e', and 't' feature in both sets.

Step 3: Write down the intersection of the sets

The intersection of the two sets is represented as a new set, containing the common elements. Here, the intersection is \(\{s, e, t\}\), as these elements are present in both original sets.