Mathematics 4024 · O Level · Sets

Sets — practice question

(a)[1]

Write, in set notation, the subset shown shaded in the Venn diagram.

(b(i))[3]

$E = \{2,3,4,5,6,7,8,9,10,11,12\}$, $P = \{x : x \text{ is a factor of } 36\}$, $Q = \{x : x \text{ is a multiple of } 4\}$, $R = \{x : 3 \le x \le 6\}$. Fill in the Venn diagram.

(b(ii))[1]

State the elements in $P \cap (Q \cup R)'$.

(b(iii))[1]

Find $n(P \cup Q)$.

(b(iv))[1]

Use set notation to complete the statement: $\;\_\_\_\_\_\_\_ = \varnothing$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: A' \cap B'

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