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JAMB Mathematics 2014 Question 11

Question 11

Sets

From the venn diagram above, the shaded parts represent

Diagram for this question
  1. A.(P∩Q)∩(P∩R)
  2. B.(P∩Q)∪(P∩R)
  3. C.(P∪Q)∩(P∪R)
  4. D.(P∪Q)∪(P∪R)
Show the answer and explanation

Answer: B ((P∩Q)∪(P∩R))

Explanation

The shading covers the region common to P and Q together with the region common to P and R. Joining two regions is a union, so the answer is (P∩Q)∪(P∩R).