Venn Diagrams

A Venn diagram shows the following elements distributed across three sets $X$ , $Y$ , and $Z$ , and the universal set $E\mathcal{E}$ :

$E={10,20,30,40,50,60,70,80,90,100}\mathcal{E} = \{10, 20, 30, 40, 50, 60, 70, 80, 90, 100\}$
Elements in $X\,$ only: 10
Elements in $Y\,$ only: 20
Elements in $Z\,$ only: 30
Elements in $\cap Y\,$ only: 40
Elements in $\cap Z\,$ only: 50
Elements in $\cap Z\,$ only: 60
Elements in $\cap Y \cap Z$ : 70
Elements outside the circles: $80, 90, 100$

a.

List the members of $\cap Y$

[1]

b.

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

[2]

A Venn diagram shows the following elements distributed across three sets $X$ , $Y$ , and $Z$ , and the universal set $E\mathcal{E}$ :

$E={10,20,30,40,50,60,70,80,90,100}\mathcal{E} = \{10, 20, 30, 40, 50, 60, 70, 80, 90, 100\}$
Elements in $X\,$ only: 10
Elements in $Y\,$ only: 20
Elements in $Z\,$ only: 30
Elements in $\cap Y\,$ only: 40
Elements in $\cap Z\,$ only: 50
Elements in $\cap Z\,$ only: 60
Elements in $\cap Y \cap Z$ : 70
Elements outside the circles: $80, 90, 100$

a.

List the members of $\cap Y$

[1]

b.

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

[2]

Venn Diagrams Questions