Prove That B’ ⊂ A’ ⇒ A ⊂ B
Question:
For any two sets \( A \) and \( B \), prove that:
\[ B’\subset A’ \Rightarrow A\subset B \]Solution
\[ B’\subset A’ \]Taking complement on both sides,
\[ (A’)’\subset(B’)’ \] \[ A\subset B \]Hence proved.
Question:
For any two sets \( A \) and \( B \), prove that:
\[ B’\subset A’ \Rightarrow A\subset B \]Taking complement on both sides,
\[ (A’)’\subset(B’)’ \] \[ A\subset B \]Hence proved.