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  • From the sets given below, select equal sets: A = {2, 4, 8, 12} ,B = {1, 2, 3, 4} , C = {4,8 ,12, 14} , D = {3, 1, 4 ,2 } ,E = {-1, 1 }, F = {0, a} ,G = {1,-1} , H = {0 ,1}

Q.6 From the sets given below, select equal sets :

A = { 2, 4, 8, 12},         B = { 1, 2, 3, 4},          C = { 4, 8, 12, 14},             D = { 3, 1, 4, 2}

E = {–1, 1},                   F = { 0, a},                 G = {1, –1},                        H = { 0, 1}

Answers (1)

Compare the elements of A,B,C,D,E,F,G,H.

8 \in A but 8\notin B,8\in C,8\notin D,8\notin E,8\notin F,8\notin G,8\notin H

Now, 2\in A  but 2\notinC.

Hence, A\neqB,A\neqC,A\neqD,A\neqE,A\neqF,A\neqG,A\neqH.

3 \in B,3\inD but 3\notinC,3\notin E,3\notinF,3\notinG,3\notinH.

Hence,B\neqC,B\neqE,B\neqF,B\neqG,B\neqH.

Similarly,comparing other elements of all sets , we conclude that elements of B and elements of D are equal  also elements of E and G are equal.

Hencw, B=D  and E = G. 

 

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Safeer PP

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