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Date May 2018 Marks available 1 Reference code 18M.1.sl.TZ2.9
Level SL only Paper 1 Time zone TZ2
Command term Write down Question number 9 Adapted from N/A

Question

Consider the following Venn diagrams.

Write down an expression, in set notation, for the shaded region represented by Diagram 1.

[1]
a.i.

Write down an expression, in set notation, for the shaded region represented by Diagram 2.

[1]
a.ii.

Write down an expression, in set notation, for the shaded region represented by Diagram 3.

[2]
a.iii.

Shade, on the Venn diagram, the region represented by the set \(\left( {H \cup I} \right)'\).

 

[1]
b.i.

Shade, on the Venn diagram, the region represented by the set \(J \cap K\).

[1]
b.ii.

Markscheme

A'     (A1)

Note: Accept alternative set notation for complement such as U − A.

[1 mark]

a.i.

\(C \cap D'\)  OR  \(D' \cap C\)     (A1)

Note: Accept alternative set notation for complement.

[1 mark]

a.ii.

\(\left( {E \cap F} \right) \cup G\)  OR  \(G \cup \left( {E \cap F} \right)\)     (A2) (C4)

Note: Accept equivalent answers, for example \(\left( {E \cup G} \right) \cap \left( {F \cup G} \right)\).

[2 marks]

 

a.iii.

     (A1)

[1 mark]

b.i.

(A1) (C2)
[1 mark]

b.ii.

Examiners report

[N/A]
a.i.
[N/A]
a.ii.
[N/A]
a.iii.
[N/A]
b.i.
[N/A]
b.ii.

Syllabus sections

Topic 3 - Logic, sets and probability » 3.5 » Basic concepts of set theory: elements \(x \in A\), subsets \(A \subset B\); intersection \(A\mathop \cap \nolimits B\); union \(A\mathop \cup \nolimits B\); complement \({A'}\) .
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