| 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 (H∪I)′.
[1]
b.i.
Shade, on the Venn diagram, the region represented by the set J∩K.
[1]
b.ii.
Markscheme
A' (A1)
Note: Accept alternative set notation for complement such as U − A.
[1 mark]
a.i.
C∩D′ OR D′∩C (A1)
Note: Accept alternative set notation for complement.
[1 mark]
a.ii.
(E∩F)∪G OR G∪(E∩F) (A2) (C4)
Note: Accept equivalent answers, for example (E∪G)∩(F∪G).
[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∈A, subsets A⊂B; intersection A∩B; union A∪B; complement A′ .
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