Set Notation and Venn Diagram Quiz

(a) Use set notation to complete the statements below for the Venn diagram.

• X ∩ Y

• c ................. X

• { }

• ................. = { a, m, e }

• ⋲

• Y ∩ Z = .................

List the elements of (X ∪ Y ∪ Z)'

(a)  

Find n(X' ∩ Z)

• 5

• 2

• 11

• 14

Find n(P' ∩ Q)

• 15

• 10

• 3

• 8

Complete the statement n(................) = 17

• P ∩ Q'

• P'

• Q'

• P' ∩ Q

Complete the statement n(................) = 12

• P ∩ Q'

• P'

• Q'

• P' ∩ Q

Use set notation to complete the statements.

(i) d .............​ (a)   ​ A

(ii) {f, g} = ................... ​ (b)  

(iii) n(..................​ (c)   ) = 6

• ⋲
• A ⋂ B
• ∉
• A ∪ B
• ⊆
• B
• A
• B'
• A'

In a class of 40 students:

28 wear glasses (G)

13 have driving lessons (D)

4 do not wear glasses and do not have driving lessons

Use set notation to describe the region that contains a total of 32 students.

• D'

• G ∪ D'

• G ∩ D
• G'

ξ = {x : x is natural numbers ≤ 16}

Write down all the square numbers in the universal set, ξ (a)  

ξ = {x : x is natural numbers ≤ 16}

Write down the six prime numbers in the universal set, ξ

(a)