Higher June 2019 Paper 1 Q14
14 \(\mathscr{E} = \{\)positive integers less than 20\(\}\)
\(A = \{x : x \lt 12\}\)
\(B = \{x : 7 \leqslant x \lt 16\}\)
(a) List the members of \(A \cap B\) (2)
\(C\) is a set such that \(C \subset A\) and \(\text{n}(C) = 3\)
Given that all members of \(C\) are even numbers,
(b) list the members of one possible set \(C\). (1)
| Scheme | Marks |
|---|---|
| 7, 8, 9, 10, 11 | B2 |
| (2) |
Notes
B2: completely correct.
(B1 for 4 or 5 correct and no more than 1 incorrect or for all terms seen correctly placed in a Venn diagram or for a correct description of the numbers in the set but not listed, eg \(7 \leqslant x \lt 12\))
| Scheme | Marks |
|---|---|
| eg 2, 4, 6 | B1 |
| (1) | |
| (3 marks) |
Notes
B1: for any 3 of 2, 4, 6, 8, 10