If `N_7 = {1,2,3,4,5,6,7}, does the following partition give rise to an equivalenc relation?` Why?` `A _1 = (1,2,5,6), A _2 = {3}, A_3 = {4,6}`

If A = (1,2,3,4,5,6,7), which of the following is a partition giving rise to an equivalence relation ? If yes, write the equivalene relation and if no, give reason. B_1= (1,2,5,7), B_2 (3), B_3 = (4,6)

let U= {1,2,3,4,5,6,7,8} A = {1,2,,3,4} then find the A complement

Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine whether the following is true or false : 1 in A

If A= {1,2,3,4,5,6,7} and B= {7,8,9,10}, then A-B equals :

If A= {1, 2,3, 4,5, 6,7} and B= {3,5,7,9,11}, then A nn B equals :

Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine whether the following is true or false : {6, 7, 8} in A .

Given the sets A = {1, 3, 5), B = {2, 4, 6} and C = {0, 2, 4, 6, 8), which of the following may be considered as universal set (s) for all the three sets A, B and C (i) {0,1, 2, 3, 4, 5, 6} (ii) ϕ (iii) {0,1,2,3,4,5,6,7,8,9,10} (iv) {1,2,3,4,5,6,7,8}

Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine whether the following is true or false : {1, 2, 3} sub A .

If U ={1,2, 3, 4,5, 6,7,8, 9,10} and A= {3, 4, 7, 9}, then A’ equals :

Let R be the relation defined in the set A = {1, 2, 3, 4, 5, 6, 7} by R = {(a, b) : both a and b are either odd or even}. Show that R is an equivalence relation. Further, show that all the elements of the subset {1, 3, 5, 7} are related to each other and all the elements of the subset {2, 4, 6} are related to each other, but no element of the subset {1, 3, 5, 7} is related to any element of the subset {2, 4, 6}.