Foundation June 2019 Paper 2 Q14

EdexcelFoundationCurrent spec4 marksSets

14 \(\mathscr{E} = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}\)
\(A = \{2, 3, 5, 7\}\)
\(B = \{4, 6, 8, 10\}\)

(a) Explain why \(A \cap B = \varnothing\) (1)

\(x \in \mathscr{E}\) and \(x \notin A \cup B\)

(b) Write down the two possible values of \(x\). (1)

Set \(C\) is such that

\(A \cup B \cup C = \mathscr{E}\)
\(A \cap C = \{2\}\)
\(B \cap C^{\prime} = \{4, 6, 10\}\)

Mark scheme (a)

Scheme	Marks
Examples There are no members that are in both \(A\) and \(B\) No members in common (in \(A\) and \(B\)) No numbers the same (in \(A\) and \(B\)) \(B\) has even numbers. \(A\) has odd numbers except 2 which is not in \(B\) Nothing in \(A\) is in \(B\) oe No overlap A and B don’t share any numbers Nothing in the intersection of \(A\) and \(B\) Answer: Correct statement	B1
	(1)

B1: for a statement which indicates correct meanings for intersection and empty set