Final Answer:
The null set, being devoid of elements, cannot be considered a subset of any set, including set A.Thus,the correct option is 2.
Step-by-step explanation:
The null set, denoted as ∅, is a set that contains no elements. In set theory, a set A is considered a subset of another set B if every element of A is also an element of B. However, since the null set has no elements, it cannot fulfill the condition of having all its elements in set A. Therefore, the null set is not a subset of any set, including set A.
To elaborate further, let's consider the definition of a subset. For A to be a subset of B, every element of A must also be an element of B. Mathematically, this is expressed as A ⊆ B. In the case of the null set, there are no elements to satisfy this condition. Thus, A cannot be a subset of any set, including set A itself.
In symbolic terms, if we assume A = {a, b, c} and the null set ∅ = {}, then ∅ is not a subset of A because there are no elements in ∅ that are also in A.
Therefore, the correct answer is 2) No, as the null set is not a subset of set A according to the definition of subsets in set theory.