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I don't think there is any special name for that.
I believe you are talking about subsets. The empty set (set with no elements) is a subset of any set, including of the empty set. ("If an object is an element of set A, then it is also an element of set B." Since no element is an element of set A, the statement is vacuously true.)
No. An empty set is a subset of every set but it is not an element of every set.
element of a set is when two numbers are formed together to form a set and the element is based on a binary question or answer.
No.