Binary Relations Give an example of a relation that satisfies (1)–(3), but not (4) in Sect XXXXXXXXXXAlso find an example that only violates (3), and one that only violates (2). What about (1)? Give...

Binary Relations

Give an example of a relation that satisfies (1)–(3), but not (4) in Sect. 19.2. Also find an example that only violates (3), and one that only violates (2). What about (1)? Give an example of a partial order that is neither antisymmetric nor complete.