Higher June 2023 Paper 1 Q16

EdexcelHigherCurrent spec3 marksSets

16 The Venn diagram shows a universal set \(\mathscr{E}\) and sets \(A\), \(B\) and \(C\)

The numbers and the letter \(x\) represent numbers of elements.

Venn diagram of three overlapping circles A, B and C in the universal set: A only 9, A and B only x, B only 12, A and C only 5, all three 3, B and C only 7, C only 10, outside all circles 7

Given that \(\mathrm{n}(A \cup B) = 42\)

(a) find the value of \(x\) (1)
(b) Find \(\mathrm{n}(A')\) (1)
(c) Find \(\mathrm{n}(B' \cap C)\) (1)
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