Sir  my doubt is from 1.1 exercise from question no.*2   *3...and questionno.*5....

while checking a relation is reflexive symmetric transitive why we are everytime proving it not reflexive  not symmetric not transitive . I have a doubt why we are always proving that it is not equivalence why we are not proving it as equivalence.
Sir I've seen in many questions like ... whenever such type of questions come like .. show that or check whether the relation is reflexive..symmetric.or transitive....
We are always proving that question is neither reflexive nor transitive or symmetric......