\(P = {1, 3, 5, 7, 9}, Q = {2, 4, 6, 8, 10, 12}, R = {2, 3, 5, 7, 11}\) are subsets of \(U = {1, 2, 3, ... , 12}\). Which of the following statements is true?

  • A \(Q \cap R = \varnothing\)
  • B \(R \subset P\)
  • C \((R \cap P) \subset (R \cap U)\)
  • D \(n(P' \cap R) = 2\)
waec 2018furthermathematics

The correct answer is C. \((R \cap P) \subset (R \cap U)\)

All the statements are false except option C.

\(R \cap P = {3, 5, 7} and R \cap U = {2, 3, 5, 7, 11}\) 

\(\therefore (R \cap P) \subset (R \cap U)\)

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