Given `A = [0,,2], B = [x in R| 0 le x le 2}`. Then, `A = B`.

Given A= {0, 1, 2}, B= {x in R|0 le x le 2 }. Then, A= B.

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.

If A = {x in R : 0 lt x lt 4} and B = {x in R : 1 le x le 7} then find A Delta B .

Let f be a function on R given by f(x) = x^(2) and let E = {x in R: - 1 le x le 0 } and F = { x in R , 0 le x le 1 } then which of the following is fase ?

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b): a = b} are equivalence relations.

Show that the relation R, on the set A={x in ZZ : 0 le x le 12} given by R = {(a,b) : |a-b| is a multiple of 4 and a,b in A } is an equivalance relation on A.

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 : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b) : |a - b| is a multiple of 4} is an equivalence relation.