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

Equal sets:
  1. B and D, because every element of B is a member of D &every element of D is a member of B.
  2. 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}.

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