Problem 31 - College Algebra Essentials

Question

Find the union of the sets. $$\\{1,3,5,7\\} \cup\\{2,4,6,8,10\\}$$

Step-by-Step Solution

Answer

The union of the sets {1,3,5,7} and {2,4,6,8,10} is {1,2,3,4,5,6,7,8,10}

Step 1: Identify the Elements in each Set

We start by identifying the elements in each set. The first set is {1,3,5,7} and the second set is {2,4,6,8,10}

Step 2: Combine the Sets

The union of two sets is a set containing all elements from both sets. So we combine the elements of the first and second set. Note that in mathematics every set is unique and there will not be any repetition of an element.

Step 3: Write Out the Union of the Sets

We write out the union of the first and second set as {1,2,3,4,5,6,7,8,10}