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Difference of Two Sets

Let X be a no...

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Let X be a non-empty set and let A, B, C be subsets of X. Consider the following statements : (1)A⊂C⇒(A∩B)⊂(C∩B),(A∪B)⊂(C∩B) (2)(A∪B)⊂(C∩B) for all sets B⇒A⊂C (3) (A∪B)⊂(C∪B) for all sets B⇒A⊂C Which of the above statements are correct ?

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