

InterviewSolution
Saved Bookmarks
1. |
If A is any set, prove that: A⊆ ϕ ⇔ A=ϕ. |
Answer» Let A⊆ ϕ, If A is a subset of an empty set, then A is the empty set. ∴ A = ϕ Now let A = ϕ, This means A is an empty set. As we know that every set is a subset of itself. ∴ A ⊆ ϕ Thus, we have, A⊆ ϕ ⇔ A=ϕ Hence, Proved. |
|