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Question 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} 

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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}; A = {0, 1} 

It can be seen that 

 8 ∈ A,    8 ∉ B,      8 ∉ D,    8 ∉ E,    8 ∉ F,    8 ∉ G,    8 ∉ H 

⇒ A ≠ B  , A ≠ D,    A ≠ E,    A ≠ F,    A ≠ G,    A ≠ H 

Also, 2 ∈ A,     2 ∉ C 

∴ A ≠ C 

3 ∈ B, 3 ∉ C, 3 ∉ E, 3 ∉ F, 3 ∉ G, 3 ∉ H 

∴ B ≠ C, B ≠ E, B ≠ F, B ≠ G, B ≠ H 

12 ∈ C, 12 ∉ D, 12 ∉ E, 12 ∉ F, 12 ∉ G, 12 ∉ H 

∴ C ≠ D, C ≠ E, C ≠ F, C ≠ G, C ≠ H 

4 ∈ D, 4 ∉ E, 4 ∉ F, 4 ∉ G, 4 ∉ H 

∴ D ≠ E, D ≠ F, D ≠ G, D ≠ H 

Similarly, E ≠ F, E ≠ G, E ≠ H, F ≠ G, F ≠ H, G ≠ H 

The order in which the elements of a set are listed is not significant. 

∴ B = D  and   E = G  

Hence, among the given sets, B = D and E = G. 

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