JAMB 2013 · UTME · Q9

PP, QQ and RR are subsets of the universal set UU. Which Venn diagram shows the relationship (P∩Q)∪R(P \cap Q) \cup R?

PQRA.PQRB.PQRC.PQRD.
Worked solution (try it first)
  1. ∪R\cup R means every region inside RR is shaded.
  2. P∩QP \cap Q adds the overlap of PP and QQ, including its part outside RR.
  3. Diagram C shades all of RR together with the overlap of PP and QQ, so the answer is option C.

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