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Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identities: A ∩ (B ∪ C) = (A ∩ B) ∩ (A ∩ C). |
Answer» A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Now, B ∪ C = {5, 6} A ∩ (B ∪ C) = {5} Similarly finding out R.H.S we get, A ∩ B = {2, 5} A ∩ C = {4, 5} (A ∩ B) ∩ (A ∩ C) = {5} L.H.S = R.H.S Hence, Verified. |
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