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Question 8

A Venn diagram shows the following elements distributed across three sets $P$ , $Q$ , and $R$ , and the universal set $E\mathcal{E}$ :

$E={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}\mathcal{E} = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15\}$
Elements in $P\,$ only: $1, 2$
Elements in $Q\,$ only: $3, 4$
Elements in $R\,$ only: $5, 6$
Elements in $\cap Q\,$ only: $7, 8$
Elements in $\cap R\,$ only: $9, 10$
Elements in $\cap R\,$ only: 11
Elements in $\cap Q \cap R$ : 12
Elements outside the circles: $13, 14, 15$

a.

List the members of $\cap Q$

[1]

b.

A number is chosen at random from $E\mathcal{E}$ . Find $\cup R)$

[2]

Venn Diagrams Questions

GCSE
Maths
Venn Diagrams