Problem 24 - College Algebra Essentials

Question

Find the intersection of the sets. $$\\{r, e, a, l\\} \cap\\{l, e, a, r\\}$$

Step-by-Step Solution

Answer

The intersection of the sets \{r, e, a, l\} and \{l, e, a, r\} is the set \{r, e, a, l\}.

Step 1: Identify Sets

The two sets that are given in the exercise are \{r, e, a, l\} and \{l, e, a, r\}. As we can see, both sets contain same elements but their orders are different.

Step 2: Find Intersection

To find the intersection of the two sets, we look for the common elements in both sets. In this case, since both sets are identical, the intersection is equal to the sets themselves.

Step 3: Write Out the Intersection

Write the common elements (r, e, a, l) as the intersection of the two sets.