Question

QUESTION 5 Determine whether each of the following relations is reflexive, irreflexive, symmetric, antisymmetric or transitive: (a) 'is a sibling (brother or sister) of, on the set of all people; (b)

is the son of, on the set of all people; (c) 'is greater than', on the set of real numbers; (d) the relation R on the set of real numbers, defined by x R y if x² = y²; (e) 'has the same integer part as', on the set of real numbers; (f) is a multiple of, on the set of positive integers.