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Answer to Question #103710 in Algebra for Sourav Mondal
Question #103710
Let A, B and C be subsets of a set. Prove that , A ∩ B ⊆ C iff A ⊆ B' U C
Expert's answer
A⊆ B' U C
A∩B ⊆ ( B' U C ) ∩ B
A∩B ⊆ ( B'∩ B) U (C ∩ B)
B∩B' = ∅
A∩B ⊆ (C ∩ B)
A∩B ⊆ C
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