Question: For each relation, indicate whether the relation is: Reflexive, anti-reflexive, or neither Symmetric, anti-symmetric, or neither Transitive or not transitive Justify your answer. (a) The

For each relation, indicate whether the relation is:

  • Reflexive, anti-reflexive, or neither
  • Symmetric, anti-symmetric, or neither
  • Transitive or not transitive

Justify your answer.

(a) The domain of the relation L is the set of all real numbers. For x,yR, xLy if x < y.

(b) The domain of the relation A is the set of all real numbers xAy if |xy|2

(c) The domain of the relation Z is the set of all real numbers xZy if y= 2x

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