Higher June 2019 Paper 2 Q3

EdexcelHigherCurrent spec4 marksSets

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

(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

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

(c) List all the members of set \(C\). (2)
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