Foundation January 2021 Paper 2R Q14
14 \(\mathscr{E} = \{21, 22, 23, 24, 25, 26, 27, 28, 29, 30\}\)
\(A = \{22, 24, 26, 28, 30\}\)
\(B = \{21, 24, 27, 30\}\)
(a) List the members of the set
(i) \(A \cap B\)
(ii) \(A'\) (2)
\(C = \{23, 25, 29\}\)
(b) Using set notation, find an expression for \(C\) in terms of \(A\) and \(B\). (1)
| Scheme | Marks |
|---|---|
| (i) Answer: 24, 30 | B1 |
| (ii) Answer: 21, 23, 25, 27, 29 | B1 |
| (2) |
Notes
B1: No repeats
B1: No repeats
| Scheme | Marks |
|---|---|
| \((A \cup B)'\) or \(A' \cap B'\) | B1 |
| (1) | |
| (3 marks) |
Notes
B1: or \((B \cup A)'\) or \(B' \cap A'\)