For any two sets- prove that-i A - A - B-Aii A - A - B-A

(i) LHS #160;= #160;A #8746;A #8745;B #8658;LHS=A #8746;A #8745;A #8746;B #160; #160; #160; #160; #160; #8658;LHS=A #8745;A #87 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Disjoint

For any two s...

Question

For any two sets, prove that:
(i) $A \cup (A \cap B) = A$
(ii) $A \cap (A \cup B) = A$

Open in App

Solution

Suggest Corrections

Similar questions

For any sets A and B, prove that:
$(i) A \cup (A \cap B) = A$

$(i i) A \cap (A \cup B) = A$

(Idempotent laws) For any set A, prove that:
$(i) A \cup A = A$

$(i i) A \cap A = A$

A' \cup B = U \Rightarrow A \subset B

B' \subset A' \Rightarrow A \subset B

(De Morgan's laws) For any two sets A and B, prove that:
$I . (A \cup B)^{'} = (A^{'} \cap B^{'})$

$I I . (A \cap B)^{'} = (A^{'} \cup B^{'})$

(Commultative laws) For any two sets a and B, prove that:
$I . A \cup B = B \cup A$ [Commutative law for union of sets]

$I I . A \cap B = B \cap A$ [Commutative law for intersection of sets]

Join BYJU'S Learning Program