Higher November 2020 Paper 2 Q14

EdexcelHigherCurrent spec6 marksSets

14 \(\mathscr{E} = \{\text{integers } x \text{ such that } 10 \leqslant x \leqslant 25\}\)
\(A = \{x : x \lt 18\}\)
\(B = \{x : 13 \leqslant x \lt 22\}\)

(a) Write down \(\mathrm{n}(A)\) (1)

(b) List the members of the set \((A \cup B)'\) (2)

\(C \subset A\), \(C \subset B\) and \(\mathrm{n}(C) = 5\)

(d) List the members of the set \(C\) (1)

Scheme	Marks
8	B1
	(1)

Mark scheme (b)

Scheme	Marks
\(A\) = {10, 11, 12, 13, 14 15, 16, 17} \(B\) = {13, 14, 15, 16, 17, 18, 19, 20, 21} or \(A \cup B\) = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21}	M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: 22, 23, 24, 25	A1
	(2)

Notes

M1: may be seen in a Venn diagram (allow for example 10 – 17 for \(A\) and 13 – 21 for \(B\) or 10 – 21 for \(A \cup B\))
or for an answer with one missing element or one extra element

Mark scheme (c)

Scheme	Marks
\(A'\) = {18, 19, 20, 21, 22, 23, 24, 25} \(B\) = {13, 14, 15, 16, 17, 18, 19, 20, 21}	M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: 18, 19, 20, 21	A1
	(2)

Notes

M1: may be seen in a Venn diagram (allow 18 – 25 for \(A'\) and 13 – 21 for \(B\))
or for an answer with one missing element or one extra element