True or false. A set is any collection of objects.
True or false. A proper subset of a set is itself a subset of the set, but not vice versa.
True or false. The empty set is a subset of every set.
I need you confirm if my answers are correct or wrong
1-TRUE. A set is a collection of objects. The objects are referred to as elements of the set.
2-FALSE. A “proper subset” of a set A is defined as a set B that is contained by A, but is not equal to A. If A had a subset B, where B is defined as A, then A=B, and thus does not satisfy the conditions for a proper subset, although it is still always a subset of itself.
3-TRUE. An empty set contains no elements while a subset contains elements that are not in the other comparing set. Hence an empty set becomes a subset of all the other sets because it has no elements and the other set contains elements.