Date | May 2018 | Marks available | 2 | 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.
Write down an expression, in set notation, for the shaded region represented by Diagram 2.
Write down an expression, in set notation, for the shaded region represented by Diagram 3.
Shade, on the Venn diagram, the region represented by the set \(\left( {H \cup I} \right)'\).
Shade, on the Venn diagram, the region represented by the set \(J \cap K\).
Markscheme
A' (A1)
Note: Accept alternative set notation for complement such as U − A.
[1 mark]
\(C \cap D'\) OR \(D' \cap C\) (A1)
Note: Accept alternative set notation for complement.
[1 mark]
\(\left( {E \cap F} \right) \cup G\) 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]
(A1)
[1 mark]
(A1) (C2)
[1 mark]