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| i s a mul t i p l e of 4}`(ii) `R = {(a , b) : a = b}`is an equivalence relation. Find the set of a

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.

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.

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 multiple of 4} is in equivelance.

Show that 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 equivalence relation.

Show that the relation R in the set A={x in Z :0lexle12} is given by R={(a,b) : |a-b|" is a multiple of 4"} is an equivalence relation .

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.