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}
We first of all need to manipulate some of the sets
D = {3, 1, 2, 4} = {1, 2, 3, 4, }
F = {8, 4, 12} = {4, 8, 12}
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)