ECZ 2018 · O-Level Paper 1 — Sets

Use set notation to describe the shaded region in the diagram below.

Diagram for ECZ 2018 · O-Level Paper 1
  • A. A∩(B∪C)′
  • B. A∩(P∩Q)′
  • C. (P∪Q)′
  • D. A∪(P∪Q)′

Verified working — step 1

The shaded region is inside set A, but outside both B and C. First, B∪C represents every part inside the two smaller circles. Its complement, (B∪C)′, is outside both circles and intersects with A giving:

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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