Problem 30 - College Algebra Essentials

Question

Find the union of the sets. $$\\{1,3,7,8\\} \cup\\{2,3,8\\}$$

Step-by-Step Solution

Answer

The union of the two sets is \\{1, 2, 3, 7, 8\\}.

Step 1: Identify the Elements of Each Set

The first step is to list out the elements in each set. Here, the first set contains the elements \\(1, 3, 7, 8\\) and the second set contains \\(2, 3, 8\\).

Step 2: Combine the Elements

The next step is to combine all the elements of both sets. Be careful not to repeat any elements as each element in a set is unique. This combined list is \\(1, 3, 7, 8, 2, 3, 8\\).

Step 3: Remove Duplicates

As each element in a set must be unique, remove any duplicate elements from the list. After doing that, the list becomes \\(1, 2, 3, 7, 8\\).