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Question 13 of 20 in Sets

Sets

4 marks · Normal

Let and .

(a)

List all the elements in .

[2 marks]
(b)

List all the elements in .

[1 mark]
(c)

List all the elements in , if the universal set is .

[1 mark]

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(a) {r, s, t, u, v}

(b) {t}

(c) {r, v, w}

Show mark scheme and worked solution

Marking points

M1 (a) · 1 mark · Lists elements for union correctly, even if not fully accurate.

A1 (a) · 1 mark · All five correct elements, no extras.

B1 (b) · 1 mark · Gives {t} only.

B1 (c) · 1 mark · Gives {r, v, w}.

Worked solution

(a) G = {s, t, u}, H = {r, t, v}; union: r, s, t, u, v.

(b) Intersection: the only common element is t.

(c) Universal: r, s, t, u, v, w; remove G: leaving r, v, w.

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