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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 -

A = {0, a}
B = {1, 2, 3, 4}
C = {4, 8, 12}
D = {3, 1, 2, 4} = {1, 2, 3, 4}
E = {1, 0}
F = {8, 4, 12} = {4, 8, 12}
G = {1, 5, 7, 11}
H = {a, b}
Equivalent sets:
i. A, E, H (all of them have exactly two elements in them)
ii. B, D, G (all of them have exactly four elements in them)
iii. C, F (all of them have exactly three elements in them)
Equal sets:
i. B, D (all of them have exactly the same elements, so they are equal)
ii. C, F (all of them have exactly the same elements, so they are equal)

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