Problem

Use the given sets to find $A \cup B$.
\[
\begin{array}{c}
A=\{1,2,3,4,5,6,7,8,9\} \\
B=\{3,5,7,9,11,13\}
\end{array}
\]

Answer

Expert–verified
Hide Steps
Answer

So, the union of sets A and B, \(A \cup B\), is \(\boxed{\{1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13\}}\).

Steps

Step 1 :Given sets are: \(A = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}\) and \(B = \{3, 5, 7, 9, 11, 13\}\).

Step 2 :The union of two sets is a set containing all the elements of both sets. It's a combination of all the unique elements from both sets.

Step 3 :So, the union of sets A and B, \(A \cup B\), is \(\boxed{\{1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13\}}\).

link_gpt