Paper 2 · November 2018 (topical set) · Sets

It is given that P is a proper subset of Q and Q is a proper subset of R. Write down, in their simplest forms, the sets R intersect P and P union Q, giving the answer as 'first, second'.

Model answer

P, Q

Explanation

Every element of P is an element of Q and every element of Q is an element of R, so P lies inside R and R intersect P = P. P also lies inside Q, so P union Q = Q.

ZIMSEC Mathematics 4004/2, November 2018, Q5(d), via the Topical Collection

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