Question

How i can prove that null set is subset of every set(example)

Answer 1

Answer:

For any set A, union of set A and nullset, gives set A. this proves that null set is subset of every set A. Using union operation for subset definition is the trick. Here's a definition of "subset" that works: ... "If all of the elements of set A are also in B, then A is a subset of B; otherwise, it is not."

Answer 2

Step-by-step explanation:

If A is the empty set then A has no elements and so all of its elements (there are none) belong to B no matter what set B we are dealing with. That is, the empty set is a subset of every set. Another way of understanding it is to look at intersections.