Question

if R is an equivalence relation On set A then prove that R+ is also a equivalence relation on set A

Answer 1

Section 3.1 recalls the definition of an equivalence relation. In general an equiv-alence relation results when we wish to “identify” two elements of a set that sharea common attribute. The definition is motivated by observing that any process of“identification” must behave somewhat like the equality relation, and the equalityrelation satisfies the reflexive (x=xfor allx), symmetric (x=yimpliesy=x), andtransitive (x=yandy=zimpliesx=z) properties.