Checking If this Relation is Reflexive symmetric and Transitive

Ex 1.1, 5 - R = {(a, b) : a <= b3} is reflexive, symmetric

Determine whether each of the following relations are reflexive, symmetric and transitive:(i) Relation R in the A = left{1, 2, 3, ..., 13, 14right} defined as R = left{(x, y) : 3x - y = 0right}(ii) Relative R in the N of natural numbers defined as R=left{(x, y):y=x 5 text{and} x < 4right}(iii) Relation R in the A=left{1, 2, 3, 4, 5, 6right} as R=left{(x, y):y text{is divisible by} xright}(iv) Relative R in the Z of all integers defined as R=left{(x, y):

Let R=\emptyset be the empty relation on a nonempty set A. Whic... | Filo