Answer to Question #267852 in Discrete Mathematics for Jaishree

Question

Determine whether the relation R on the set of all real

numbers is reflexive, symmetric, antisymmetric, and/or

transitive, where (x, y) ∈ R if and only if

a) x + y = 0. b) x = ±y.

c) x − y is a rational number.

d) x = 2y. e) xy ≥ 0.

f ) xy = 0. g) x = 1.

h) x = 1 or y = 1.