Let $\displaystyle {S}$ be the universal set, where:
$\displaystyle {S}={\left\lbrace{1},{2},{3},\ldots,{8},{9},{10}\right\rbrace}$
Let sets $\displaystyle {A}$ and $\displaystyle {B}$ be subsets of $\displaystyle {S}$, where:

Set $\displaystyle {A}={\left\lbrace{1},{3},{8},{9},{10}\right\rbrace}$

Set $\displaystyle {B}={\left\lbrace{1},{1},{4},{6},{8},{9}\right\rbrace}$

Write out the following sets in roster notation and state the cardinality of the sets.


$\displaystyle {A}\cup{B}={\lbrace}$ $\displaystyle {\rbrace}$


$\displaystyle {n}{\left({A}\cup{B}\right)}=$


$\displaystyle {A}\cap{B}={\lbrace}$ $\displaystyle {\rbrace}$


$\displaystyle {n}{\left({A}\cap{B}\right)}=$


$\displaystyle {A}'={\lbrace}$ $\displaystyle {\rbrace}$


$\displaystyle {n}{\left({A}'\right)}=$


$\displaystyle {B}'={\lbrace}$ $\displaystyle {\rbrace}$


$\displaystyle {n}{\left({B}'\right)}=$