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Is empty set a power set?
To me, I believe that a power set is not empty. Here is my thought: ∅ ∊ P(A) where P(A) is the power set and A is the set. This implies: ∅ ⊆ A This means that A = ∅, but ∅ ∉ A. ∅ ∊ A if A = {∅} [It makes sense that ∅ ∊ {∅}]. Then, {∅} ⊆ A, so {∅} ∊ P(A) = {∅, {∅}}. That P(A) is not empty since it contains {∅} and ∅.
Is power set of singleton set equal to null set?
No. Let A = {a} (a singleton set) then P(A) = {a, 0} where 0 is the null (empty) set.
Is an empty set a subset of every set?
Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.
What isan empty set?
The empty set is a set that has no elements.
What will be the representation of subset of a empty set?
The only subset of an empty set is the empty set itself.
