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(P = {1, 3, 5, 7, 9}, Q = {2, 4, 6, 8, 10, 12},…

(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)
Correct Answer: Option C
Explanation

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))