Given:
[tex]\begin{gathered} A=\lbrace3,4,7,9\rbrace \\ B=\lbrace8,9,10,11\rbrace \end{gathered}[/tex]To find:
[tex]A\cup B[/tex]Explanation:
We know that,
The union of two sets is a set containing all elements that are in A or in B.
So, the union of the two sets is,
[tex]\begin{gathered} A\cup B=\lbrace3,4,7,9\rbrace\cup\lbrace8,9,10,11\rbrace \\ A\cup B=\lbrace3,4,7,8,9,10,11\rbrace \end{gathered}[/tex]Final answer:
The set is,
[tex]A\cup B=\lbrace3,4,7,8,9,10,11\rbrace[/tex]