Number 10

3 marks · Easy

Let and .

Use a Venn diagram to answer the following:

(a)

List the elements in (the intersection of and ).

[1 mark]

(b)

List the elements in (the union of and ).

[1 mark]

(c)

What is ?

[1 mark]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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(a) \{4, 8\} · must show 4, 8

(b) \{2, 4, 6, 8, 10, 12\} · must show 2, 4, 6, 8, 10, 12

Common mistakes: Omitting shared or combined elements; using wrong values for union.

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Marking points

B1 (a) · 1 mark · Correctly lists the intersection .

B2 (b) · 1 mark · Correctly lists the union .

B3 (c) · 1 mark · States .

Worked solution

a) The elements in both and are 4 and 8. So .

b) For the union, list all elements from both sets without repetition: .

c) as there are two elements in the intersection.