If A ⊂ B, Find A ∩ B and A ∪ B
If \[ A \subset B \] then find:
(i) \[ A \cap B \]
(ii) \[ A \cup B \]
Solution
Since \[ A \subset B \] every element of \[ A \] belongs to \[ B \]
Therefore, \[ A \cap B=A \]
Also, \[ A \cup B=B \]
Hence,
(i) \[ \boxed{A \cap B=A} \]
(ii) \[ \boxed{A \cup B=B} \]