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Cardinality of Sets

The Venn diag...

Question

The Venn diagram shows the elements of sets P, Q and R.
It is universal set, $ξ = P \cup R \cup R$ , then set Q' is

A

{1}

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B

{6, 7}

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C

{1, 6, 7}

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D

{2, 3, 5}

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Solution

The correct option is D ${1, 6, 7}$
$ξ = P \cup Q \cup R$
$Q = {4, 2, 3, 5}$
$Q^{'} = u n i v e r s a l s e t - Q$
$Q^{'} = ξ - Q$
$= {1, 6, 7}$

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