Answer:
{a,c,e,f,g}
Explanation:
Given that the Universal Set is:
[tex]U=\left\{ a,b,c,d,e,f,g\right\} [/tex]Sets A and B are given as:
[tex]\begin{gathered} A=\left\lbrace a,c,e,g\right\rbrace \\ B=\left\lbrace a,b,c,d\right\rbrace \end{gathered}[/tex]The complement of B (B') is the set of all elements that are in the universal set but not in B. Thus:
[tex]B^{\prime}=\left\lbrace e,f,g\right\rbrace [/tex]The union of A and B' is, therefore:
[tex]\begin{gathered} A\cup B^{\prime}=\left\lbrace a,c,e,g\}\cup\left\lbrace e,f,g\right\rbrace \right? \\ =\left\lbrace a,c,e,f,g\}\right? \end{gathered}[/tex]