Question

From the sets given below, select equal sets and equivalent sets.
A = {0, a}, B = {1, 2, 3, 4} C = {4, 8, 12}, D = {3, 1, 2, 4},
E = {1, 0}, F = {8, 4, 12} G = {1, 5, 7, 11}, H = {a, b}.

Answer 1

Equal sets:
(a) B and D, because every element of B is a member of D & every element of D is a member of B.
(b) C and F, because every element of C is a member of F & every element of F is a member of C

Equivalent sets:
(a) A, E and H {$\because$ n(A) = n(E) =n(H) = 2}
(b) B, D and G {$\because$ n(B) = n(D) =n(G) = 4}
(c) C and F {$\because$ n(C) = n(F) = 3}