For each of these relations on the set {1, 2, 3, 4}, decide whether it is...

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Advance Math

  1. For each of these relations on the set {1, 2, 3, 4}, decidewhether it is reflexive, whether it is symmetric, whether it isantisymmetric, and whether it is transitive.
  1. {(2, 4), (4, 2)}
  2. {(1, 2), (2, 3), (3, 4)}
  3. {(1, 1), (2, 2), (3, 3), (4, 4)}
  4. {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)}

For a) and b) please use the graphrepresentation to determine their properties

For c) and d) please use matrixrepresentation to determine their properties.

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