For example, if we have a set of numbers called A which has 3 members(in our case numbers):
A={2,5,6}
this set has 8 subsets (2^3) which are as follow:
the empty set: ∅
{2},{5},{6}
{2,5},{2,6},{5,6}
{2,5,6}
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Set "A" is said to be a subset of a set "B" if all elements of set "A" are also elements of set "B". It may be the case that both are the same set, or that "A" is a smaller set that "B".
Because every set is a subset of itself. A proper subset cannot, however, be a proper subset of itself.
It isn't. The empty set is a subset - but not a proper subset - of the empty set.
-28 belongs to: Integers, which is a subset of rationals, which is a subset of reals, which is a subset of complex numbers.
Since B is a subset of A, all elements of B are in A.If the elements of B are deleted, then B is an empty set, and also it is a subset of A, moreover B is a proper subset of A.
This problem can be modeled and tested quite easily. Set A can be [X,Y], subset B [X,Y], and subset A [X,Y]. Therefore A and B are equivalent.