Question

The
1.
08
Determine whether each of the following relations are reflexive, symmetric and
transitive:
(i) Relation R in the set A = {1, 2, 3, ..., 13, 14} defined as
R = {(x, y): 3x - y = 0}
(ü) Relation R in the set N of natural numbers defined as
R = {(x, y): y = x + 5 and x <4}
(iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} as
R= {(x, y): y is divisible by x}
(iv) Relation R in the set Z of all integers defined as
R = {(x, y) : x - y is an integer}
(v) Relation R in the set A of human beings in a town at a particular time given by
(a) R = {(x, y) : x and y work at the same place}
(b) R = {(x, y) : x and y live in the same locality}
(c) R = {(x, y) : x is exactly 7 cm taller than y}
(d) R = {(x, y) : x is wife of y}
(e) R = {(x, y) : x is father of y}​

Answer 1

Answer:

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