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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