4MA0 Foundation June 2014 Paper 1R Q18
18 \(\mathscr{E} = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}\)
\(A = \{1, 3, 5, 7\}\)
\(B = \{2, 4, 6, 8\}\)
(a) Explain why \(A \cap B = \varnothing\) (1)
\(x \in \mathscr{E}\) and \(x \notin A \cup B\)
(b) Write down the value of \(x\). (1)
\(A \cap C = \{3, 7\}\), \(B \cap C = \{8\}\) and \(A \cup B \cup C = \mathscr{E}\)
(c) List all the members of \(C\). (2)
| Scheme | Marks |
|---|---|
| e.g. There are no numbers which are in both A and B. e.g. A is odd, B is even. | B1 |
| (1) |
Notes
B1: for a statement which indicates correct meanings of intersection and empty set.
| Scheme | Marks |
|---|---|
| 9 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 3, 7, 8, 9 | B2 |
| (2) | |
| (Total 4 marks) |
Notes
B2: Award B1 for any three correct with no extras or all four correct with only one extra. Allow in any order, with or without brackets, ignore repeats.