NCERT Exercise 1.1 Q1 - Relations and Functions
Question: Determine whether each relation is reflexive, symmetric and transitive: (i) R = {(x, y) : 3x − y = 0} on A = {1,...,14}; (ii) R = {(x, y) : y = x + 5 and x < 4} on N; (iii) R = {(x, y) : y is divisible by x} on {1,...,6}; (iv) R = {(x, y) : x − y is an integer} on Z; (v) relations on human beings: same workplace; same locality; x taller than y by exactly 7 cm; x is wife of y; x is father of y.
Answer: (i) Neither reflexive nor symmetric nor transitive. (ii) Neither reflexive nor symmetric but transitive. (iii) Reflexive and transitive but not symmetric. (iv) Reflexive, symmetric and transitive. ...
Full step-by-step NCERT solution with diagrams on Something by Zero.