Sets 2

3 marks · Easy

Using the Venn diagram below, answer the questions that follow.

Venn diagram: Universal set S = {a, b, c, d, e, f, g}, A = {a, b, c, d}, B = {c, d, e, f}. Shaded region is the overlap of A and B.

(a)

List all the elements in A ∩ B.

[1 mark]

(b)

List the elements in A ∪ B.

[1 mark]

(c)

List the elements not in A or B.

[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.

Show answer

(a) {c, d}

(b) {a, b, c, d, e, f}

Must show: Correct set listings

Common mistakes: Missing elements from union; Overlooking elements not in any set

Show mark scheme and worked solution

Marking points

M1 (a) · 1 mark · Lists A∩B = {c, d}

A1 (b) · 1 mark · Lists union = {a, b, c, d, e, f}

B1 (c) · 1 mark · Lists complement = {g}

Worked solution

a) A ∩ B are the elements in both sets: {c, d}.

b) A ∪ B = elements in either or both: {a, b, c, d, e, f}.

c) Not in A or B: {g}.