4400 Higher November 2004 Paper 3 Q11

EdexcelHigherOld spec4 marksSets

11 The universal set, \(\mathscr{E} = \{\text{Whole numbers}\}\)
\(A = \{\text{Multiples of 5}\}\)
\(B = \{\text{Multiples of 3}\}\)

Sets \(A\) and \(B\) are represented by the circles in the Venn diagram.

Venn diagram: rectangle for the universal set containing two overlapping circles A and B
(a)
(i) On the diagram, shade the region that represents the set \(A \cap B'\).
(ii) Write down three members of the set \(A \cap B'\). (2)

\(C = \{\text{Multiples of 10}\}\).

(b)
(i) On the diagram draw a circle to represent the set \(C\).
(ii) Write down three members of the set \(A \cap B \cap C'\) (2)