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Question 4 of 20 in Sets

Sets

3 marks · Easy

The Venn diagram below shows the sets P and Q.

Geometry diagram with points A, B
Venn diagram for sets P and Q in universal set S
(a)

What is the name given to the area shared by sets P and Q?

[1 mark]
(b)

Shade the area representing P' in the diagram above.

[2 marks]

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(a) Intersection

(b) Correct shading of the region outside P (complement) · must show Area outside circle P clearly shaded and no shading inside P

Must show: Shared area labelled as intersection; correct representation of complement

Also accept: Intersection area for (a); any correct shading of complement for (b)

Common mistakes: Confusing union and intersection; Shading P instead of complement

Show mark scheme and worked solution

Marking points

B1 (a) · 1 mark · Names the area as 'intersection' or equivalent

B2 (b) · 2 marks · Correctly shades the region outside set P for P' (no overlap with inside P)

Worked solution

(a) The shared area is called the 'intersection'.

(b) For P', shade everything outside circle P in the Venn diagram.

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