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WAEC Mathematics 2014 Objective — Question 11

Question 11 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

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If X={0,2,4,6} and Z={1,3} are subsets of U={x:0≤x≤6}, and Y={1,2,3,4}. Find X∩(Y′∪Z).

  • A. {0,2,6}
  • B. {1,3}
  • C. {0,6}Correct
  • D. { }

Explanation

Y′ (complement of Y in U) = {0,5,6}. Y′∪Z = {0,1,3,5,6}. X∩(Y′∪Z) = {0,2,4,6}∩{0,1,3,5,6} = {0,6}.

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