engineering recuitment GATE CSE 2023-24 Test Series Engineering Mathematics Set Theory & Algebra Relations
Which of the following statement is not true?
1
If a relation on a set A is symmetric and transitive then R is reflexive.
2
If a relation R on a set A is irreflexive and transitive then R is antisymmetric.
3
If R is antisymmetric relation then R ꓵ S and R U S is antisymmetric for any relation S on A.
4
If R and S are transitive relation on a set A then R U S need not be transitive and R ꓵ S are also transitive.