From the sets given below, select equal sets and equivalent sets.

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 = {ab}.

Solution:

(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      {"> n(A) = n(E) =n(H) = 2}

(b) B, D and G     {"> n(B) = n(D) =n(G) = 4}

(c) C and F           {"> n(C) = n(F)  = 3}

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