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Let X be a non-empty set and let A, B, C...

Let X be a non-empty set and let A, B, C be subsets of X. Consider the following statements :
`(1) AsubCimplies(AnnB)sub(CnnB)(AuuB)sub(CnnB)`
`(2)(AuuB)sub(CnnB)" for all sets B"impliesAsubC`
(3) `(AuuB)sub(CuuB)" for all sets B"impliesAsubC`
Which of the above statements are correct ?

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