A relation R is defined on Z by a R b if 3 | (a^3 - b). Prove or disprove that: a) R is reflexive b) R is transitive (Z = integers)?

• A relation R is defined on Z by a R b if 3 | (a^3 - b). Prove or disprove that: a) R is reflexive b) R is transitive (Z = integers)?

A relation R is defined on Z by a R b if 3 | (a^3 - b). Prove or disprove that: a) R is reflexive b) R is transitive (Z = integers)? Find answers now! No ...
Positive: 66 %
... (1,4) ∈ R. (b) Let R be the relation on Z deﬁned by: ... ,A2 = {3,5,6},A3 = ... Prove or disprove: R is transitive. False. Let A = ...
Positive: 63 %

More resources

... (a), 3, 4, 5(b), 6, 7 ... but not reﬂexive and not transitive. Let R be the relation on R given by ... Let S be the set Z of all integers and let R ...
Positive: 66 %
Example 3 Suppose R is the relation on a set of strings such that a R b ... relation is reflexive and transitive. ... integers. Define a relation R ...
Positive: 61 %
The binary relation R itself is usually identified ... R ∘ S), defined as S ∘ R = { (x, z) | there exists y ∈ Y ... Reflexive transitive closure: R