NCERT Exercise 1.1 Q9 - Relations and Functions
Question: On A = {x ∈ Z : 0 ≤ x ≤ 12}, show that (i) R = {(a, b) : |a − b| is a multiple of 4} and (ii) R = {(a, b) : a = b} are equivalence relations. Find the set of all elements related to 1 in each case.
Answer: (i) Equivalence; elements related to 1 are {1, 5, 9}. (ii) Equivalence; elements related to 1 are {1}.
Full step-by-step NCERT solution with diagrams on Something by Zero.