Argument: R2 is straight away eliminated. For R3, to satisfy Antisymmetric relation.. Say -2 and +2 satisfy it then +2 and -2 should not satisfy. But its not the case. Answer is given as C. Am I so blind that I couldn't figure out my mistake?
Answer is option D only , R3 is not an antisymetric relation .
Option D will be right option.
answer would be D:
R1 is definitely partial order set (>= is classic example of poset)
R2 is clearly not reflexive therefore not partial order set
coming to R3 : we have to check whether it is antisymmetric or not: i.e (aRb and bRa) implies a=b
suppose we take +3 and -3 now (3)2 <= (-3)2 and (-3)2 <= (3)2 implies that 3=-3 which is false therefore it is not antisymmetric in nature following not a partial order.
In d link mentioned below. Yeah. :)