4MA0 Higher January 2015 Paper 3 Q19

EdexcelHigherOld spec4 marksSets

19

Venn diagram: universal set E containing circles A and B; A only: 2, 3, 10; A and B: 8, 9; B only: 5, 6; outside both: 7, 1, 4

The Venn diagram shows all of the elements in sets \(A\), \(B\) and \(\mathscr{E}\).

(a) Write down the elements in \(A'\) (1)
(b) Find \(\mathrm{n}(A \cap B)'\) (1)
(c) Find the elements in \((A \cap B) \cup (A \cup B)'\) (1)

\(A \cap C = \varnothing\)
\(B \cup C = \{5, 6, 7, 8, 9\}\)
\(\mathrm{n}(C) = 3\)

(d) Write down the elements in \(C\). (1)
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