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Question 12 of 20 in Sets

Sets

3 marks · Normal

The Venn diagram shows sets E and F in a universal set S.

Geometry diagram with points E, F
Venn diagram for question 6.
(a)

What name is given to the overlapping part of E and F?

[1 mark]
(b)

Write the symbol or notation for the region that is inside E or inside F or both.

[1 mark]
(c)

Write in set notation the region outside both E and F.

[1 mark]

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(a) Intersection

(b) E \cup F

(c) (E \cup F)'

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Marking points

B1 (a) · 1 mark · Gives 'intersection'.

B1 (b) · 1 mark · Gives correct symbol: E ∪ F.

B1 (c) · 1 mark · Gives correct complement notation: (E ∪ F)'.

Worked solution

(a) The overlapping part is called the intersection.

(b) Inside E or F or both is denoted E ∪ F.

(c) Outside both E and F is (E ∪ F)'.

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