Question:` u = {1, 2, 3, 4, 5, 6, 7},` A = {1, 2, 5}, B = {2, 4, 7} C = {4, 5, 6} ক. `AnnB = BnnA` খ. `(AnnB) = AuuB` গ. `(AuuC) = AnnC`
Answer ক. `AnnB = BnnA` দেওয়া আছে, A = {1, 2, 5} এবং B = {2, 4, 7} :. `AnnB = {1, 2, 5} nn {2, 4, 7}` = {2} আবার, `BnnA = {2, 4, 7} nn {1, 2, 5}` = {2} :.` AnnB = BnnA` খ. `(AnnB) = AuuB` দেওয়া আছে, A = {1, 2, 5} এবং B = {2, 4, 7} এখন, `AnnB = {1, 2, 5} nn {2, 4, 7}` = {2} :. `(AnnB) = U - (AnnB)` = {1, 2, 3, 4, 5, 6, 7} - {2} = {1, 3, 4, 5, 6, 7} আবার, A = U - A = {1, 2, 3, 4, 5, 6, 7} - (1, 2, 5} = {3, 4, 6, 7} B = U - B = {1, 2, 3, 4, 5, 6, 7} - (2, 4, 7} = {1, 3, 5, 6} :. `AuuB = {3, 4, 6, 7} uu {1, 3, 5, 6}` = {1, 3, 4, 5, 6, 7} :. `(AnnB) = AuuB` অর্থাৎ সর্ম্পকটি সত্য। গ. `(AuuC) = AnnC` দেওয়া আছে, A = {1, 2, 5} এবং C = {4, 5, 6} এখন, `AuuC = {1, 2, 5} uu {4, 5, 6}` = {1, 2, 4, 5, 6} :. `(AuuC) = U - (AuuC)` = {1, 2, 3, 4, 5, 6, 7} - {1, 2, 4, 5, 6} = {3, 7} আবার, A = U - A = {1, 2, 3, 4, 5, 6, 7} - (1, 2, 5} = {3, 4, 6, 7} C = U - C = {1, 2, 3, 4, 5, 6, 7} - {4, 5, 6} = {1, 2, 3, 7} :.` AnnC = {3, 4, 6, 7}nn {1, 2, 3, 7}` = {3, 7} :.` (AuuC) = AnnC` অর্থাৎ সর্ম্পকটি সত্য।
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` u = {1, 2, 3, 4, 5, 6, 7},` A = {1, 2, 5}, B = {2, 4, 7} C = {4, 5, 6} ka. `AnnB = BnnA` kh. `(AnnB) = AuuB` ga. `(AuuC) = AnnC`