Let R be the set of real numbers. Define a relation p on R by p={(a,b)€R×R: a<=b^2}. Then p is
Answer & explanation
Correct answer: option 4
p is not reflexive because (1/2,1/2) does not belong to p. p is not symmetric because (1,2) belongs to p but (2,1) does not belong to p. p is not transitive because (1,-1) belongs to p and (-1,0) belongs to p but (1,0) doesn't belong to p.