Question

Use the Venn diagram to answer the following questions
(i) List $U,G$ and $H$
(ii) Find $G^{\prime },H^{\prime },G^{\prime }\cap H^{\prime },n{(G\cup H)}^{\prime }$ and $n{(G\cap H)}^{\prime }$

Answer 1

$\left(1\right)U=\{1,2,3,4,5,6,7,8,9,10\}$

$G=\{1,2,4,8\}$

$H=\{2,6,8,10\}$

$\left(2\right)G^{\prime }=\{6,10,3,9,,5\}$

$H^{\prime }=\{1,4,3,9,5\}$

$G^{\prime }\cap H^{\prime }=\{3,9,5\}$

$G\cup H$=$\{1,2,4,6,8,10\}$

$(G\cup H{)}^{\prime }=\{9,5,9\}$

$n(G\cup H{)}^{\prime }=3$

$G\cap H=\{2,8\}$

$(G\cap H{)}^{\prime }=\{1,4,6,10,3,9,5\}$

$n(G\cup H{)}^{\prime }=7$