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