Question

U = {a, b, c, d, e, f, g}A = {a, c, e, g)B = {a, b, c, d]Find A U B'

Answer 1

{a,c,e,f,g}

Step-by-step explanation:

Given that the Universal Set is:

`U=\left\{ a,b,c,d,e,f,g\right\}`

Sets A and B are given as:

`\begin{gathered} A=\left\lbrace a,c,e,g\right\rbrace \\ B=\left\lbrace a,b,c,d\right\rbrace \end{gathered}`

The complement of B (B') is the set of all elements that are in the universal set but not in B. Thus:

`B^(\prime)=\left\lbrace e,f,g\right\rbrace`

The union of A and B' is, therefore:

`\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}`