Match List I with List II. Let R1 = {(1,1),(2,2),(3,3)} and R2 =…

2020

Match List I with List II.

Let R1 = {(1,1),(2,2),(3,3)} and R2 = {(1,1),(1,2),(1,3),(1,4)}.

List I

  • A. R1 ∪ R2

  • B. R1 − R2

  • C. R1 ∩ R2

  • D. R2 − R1

List II

  • I. {(1,1),(1,2),(1,3),(1,4),(2,2),(3,3)}

  • II. {(1,1)}

  • III. {(1,2),(1,3),(1,4)}

  • IV. {(2,2),(3,3)}

Choose the correct matching.

  1. A.

    A-I, B-II, C-IV, D-III

  2. B.

    A-I, B-IV, C-III, D-II

  3. C.

    A-I, B-III, C-II, D-IV

  4. D.

    A-I, B-IV, C-II, D-III

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Correct answer: D

Correct answer: A-I, B-IV, C-II, D-III

  • A. R1 ∪ R2 contains every distinct ordered pair from both relations, so it matches I.

  • B. R1 − R2 keeps the elements that are in R1 but not in R2. This gives {(2,2),(3,3)}, so it matches IV.

  • C. R1 ∩ R2 keeps only the ordered pairs common to both relations. The common pair is {(1,1)}, so it matches II.

  • D. R2 − R1 keeps the elements that are in R2 but not in R1. This gives {(1,2),(1,3),(1,4)}, so it matches III.

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