Prove That A ∩ (A ∪ B)’ = Φ
Question:
For any two sets \( A \) and \( B \), prove that:
\[ A\cap(A\cup B)’=\phi \]Solution
\[ A\cap(A\cup B)’ \] \[ =A\cap A’\cap B’ \] \[ =(A\cap A’)\cap B’ \] \[ =\phi\cap B’ \] \[ =\phi \]Hence proved.
Question:
For any two sets \( A \) and \( B \), prove that:
\[ A\cap(A\cup B)’=\phi \]Hence proved.