Are 01234 and 12345 equal sets?

Answer 1

Sets A and B are equivalent if A is a subset of B and if B is a subset of A. A is a subset of B if every element of A is in B. Since 0 is in 01234 but not in 12345, 01234 isn't a subset of 12345, and therefore the sets are not equivalent.

Answer 2

No, the sets {0, 1, 2, 3, 4} and {1, 2, 3, 4, 5} are not equal because they have different elements—the first set includes 0 and excludes 5, while the second set excludes 0 and includes 5.

Answer 3

Yes

Answer 4

No