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

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

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].

Show that the relation R in the set Z of integers, given by R = {(a, b): 3 divides a − b} is an equivalence relation. Hence find the equivalence classes of 0, 1 and 2.

Let A={1,2,3,4}.Let R be the equivalence relation on A times A defined by (a,b)R(c,d) iff a +d=b+c. Find the equivalence class '[(1,3)]'

Let R be the relation in the set Z of all integers defined by R= {(x,y):x-y is an integer}. Then R is

Let A={1,2,3,4}. Let R be the equivalence relation on A xx A defined by (a,b)R(c,d)hArr a+d=b+c. Find an equivalence class for [2quad 3]

Let R be the relation in the set N given by R = {(a,b):|a-b| is odd}. Then:

show that R is an equivaence relation R defined on the set S={1,2,3,4,5} given by R={(a,b):|a-b| is even } is an equivalence relation .