Problem 24 - Algebra and Trigonometry

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 is \( \{ r, e, a, l \} \).

Step 1: Identifying the elements in the sets

Start with clearly identifying the elements in both the sets. For this problem, Set 1: {r, e, a, l} and Set 2: {l, e, a, r} are the given sets.

Step 2: Comparing the elements

Now, compare the elements of the two sets. Here it can be observed that all elements of Set 1 and Set 2 match: 'r', 'e', 'a', 'l'.

Step 3: Finding the Intersection

The intersection of the sets (\(Set 1 \cap Set 2\)) is the set containing all elements common to both sets. Here all elements 'r', 'e', 'a', 'l' are common to both Set 1 and Set 2. Hence, the intersection of Set 1 and Set 2 is \( \{ r, e, a, l \} \).