The empty relation is the subset ∅. It is clearly irreflexive, hence not reflexive. Can a set be both reflexive and irreflexive? That is, a relation on a set may be both reflexive and irreflexive or it may be neither. The same is true for the symmetric and antisymmetric properties,Read More →
R is reflexive if for all x A, xRx. R is symmetric if for all x,y A, if xRy, then yRx. R is transitive if for all x,y, z A, if xRy and yRz, then xRz. Is asymmetric opposite of symmetric? Asymmetric relation: Asymmetric relation is opposite of symmetric relation.Read More →
R is reflexive if for all x A, xRx. R is symmetric if for all x,y A, if xRy, then yRx. R is transitive if for all x,y, z A, if xRy and yRz, then xRz. Is asymmetric opposite of symmetric? Asymmetric relation: Asymmetric relation is opposite of symmetric relation.Read More →