If U={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A={1, 3, 8, 4} and B{2, 7, 3, 9} find A′ and n(A∪ B).

A′=U−A={1,2,3,4,5,6,7,8,9,10}−{1,3,8,4}∴A′={2,5,6,7,9,10}A∪B={1,3,8,4}∪{2,7,3,9}={1,2,3,4,7,8,9}∴n(A∪B)=7

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If U={ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 } A={ 1, 3, 8, 4 } and

Question

If $U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}$
$A = {1, 3, 8, 4}$ and $B {2, 7, 3, 9}$ find $A^{'}$ and $n (A \cup B)$ .

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Charlotte Discussed

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 8, 4}

and

B {2, 7, 3, 9}

find

A^{'}

and

n (A \cup B)

14 mins ago

Discuss this question LIVE

14 mins ago

A^{'} = U - A

= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} - {1, 3, 8, 4}

∴ A^{'} = {2, 5, 6, 7, 9, 10}

A \cup B = {1, 3, 8, 4} \cup {2, 7, 3, 9}

= {1, 2, 3, 4, 7, 8, 9}

∴ n (A \cup B) = 7

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