$\mathcal{E} = \{21, 22, 23, 24, 25, 26, 27, 28, 29, 30\}$, $A = \{x : x \text{ is divisible by } 3\}$, $B = \{x : x \text{ is prime}\}$, $C = \{x : x \le 25\}$.
(a)[4]
Fill in the Venn diagram.
(b(i))[1]
Complete the statement using set notation: $26 \; \ldots\ldots\ldots\ldots\ldots\ldots\; B$.
(b(ii))[1]
Complete the statement using set notation: $A \cap B = \ldots\ldots\ldots\ldots$.
(c)[2]
Write down the elements of $B \cup (C \cap A)$.
(d(i))[1]
Find $n(C)$.
(d(ii))[1]
Find $n(B' \cup (B \cap C))$.
(e)[1]
Complete this statement in set notation.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Venn diagram with every region correctly completed” …