Show that the relation `S` in the set `A={x\ \ Z\ :0\ lt=x\ lt=12}` given by `S={(a , b):\ a ,\ b\ \ Z ,\ \ |a-b|` is divisible by `4}` is an equivalence relation. Find the set of all elements related to 1.

Show that the relation S in set A={x in Z : 0 le x le 12} given by S={(a, b):a, b in A, |a-b| is divisible by 4} is an equivalence relation. Find the set of all elements related to 1.

Show that the relation S in the set A={x in Z:0<=x<=12} given by S={(a,b):a,b epsilon Z,^(-)|a-b| is divisible by 4} is an equivalence relation.Find the set of all elements related to 1.

Show that the relation R on the set A={x in Z :0lt=xlt=12} , given by R={(a ,\ b):|a-b| is a multiple of 4} is an equivalence relation. Find the set of all elements related to 1 i.e. equivalence class [1].

Show that each of the relation R in the set A={x in Z :0lt=xlt=12} , given by(i) R = {(a , b) : |a - b| is a multiple of 4} (ii) R = {(a , b) : a = b} is an equivalence relation. Find the set of all elements related to 1 in each case.

Let A={x in Z:0 le x le 12} . Show that R={(a,b):a,b in A,|a-b|is divisible by 4} is an equivalence relation. Find the set of all elements related to 1. Also write the equivalence class [2]

Let A={x in Z:0 le x le 12} . Show that R={(a,b):a,b in A,|a-b| is divisible by 4} is an equivalence relation. Find the set of all elements related to 1. Also write the equivalence class [2]

Show that each of the relation R in the set A={x in Z: 0 le xle12} ,given by R = {(a,b) : |a-b| is a multiple of 4} is an equivalence relation. Find the set of all elements related to 1 in each case.

Show that each of the relation R in the set A = {x in z : 0 le x le 12} , given by R = {(a,b) : |a-b| is a multiple of 4} is an equivalec relation. Find the set of all elements related to 1 in each case.

Show that each of the relation R in the set A={x in Z:0<=x<=12} given by (i) R={(a,b):|a-b| is a multiple of 4} (ii) quad R={(a,b):a=b} is an equivalence relation.Find the set of all elements related to 1 in each case.