a is the set of siamese cats

b is the set of cats

how do I determine whether the pairs of sets are equal, equivalent, both or neither?

2 answers

A set is equal if it contains the same elements. They could be listed in the same order or not to be equal. Example: {1, 2, 3} and {1, 2, 3} and {3, 2, 1} are all equal because the have the same elements.
A set is equivalent if it contains the same NUMBER of elements.
Example: {4, 6, 7} and {3, 4, 8} are equivalent because it contains the same number of elements (they both have 3).
Note that if a set is equal, it is also equivalent, but not vice versa.
So what do you think your example is?