Let `R` be the equivalence relation in the set `A={0,1,2,3,4,5}` given by `R={(a ,b):2d i v i d e s(a-b)}dot` Write the equivalence class [0].

Let R be the equivalence relation in the set A={0,1,2,3,4,5} given by R={(a ,b): 2 \ d i v i d e s(a-b)} . Write the equivalence class [0].

Let R be the equivalence relation in the set A={0,\ 1,\ 2,\ 3,\ 4,\ 5} given by R={(a ,\ b):2 divides (a-b)} . Write the equivalence class [0].

Let R be the relation in the set Z of integers given by R={(a,b):2 divides a-b}. Show that the relation R transitive ? Write the equivalence class [0].

Prove that the relation R in set A = {1, 2, 3, 4, 5} given by R = {(a,b): |a-b| is even} is an equivalence relation .

Show that the relation R on the set Z of integers, given by R={(a ,\ b):2 divides a-b} , is an equivalence relation.

Show that the relation R on the set Z of integers, given by R={(a ,\ b):2 divides a-b} , is an equivalence relation.

Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {(a, b) : |a – b| is divisible by 2} is an equivalence relation. Write all the equivalence classes of R .

Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {(a , b) : |a - b| is e v e n} , is an equivalence relation. Show that all the elements of {1, 3, 5} are related to each other and all the elements of {2, 4 } are related to each other. But no element of {1, 3, 5} is related to any element of {2, 4} .

If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^(2)-b^(2)|lt 8}. Then, R is given by …….. .

If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^(2)-b^(2)|lt 8}. Then, R is given by …….. .