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Given A={1,3,5,7},B={1,2,3,4} and C={2,4,6} Does An(BUC) = (AnB) UC?

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suedoc | Student, College Freshman | (Level 1) eNoter

Posted September 8, 2012 at 2:44 AM via web

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Given A={1,3,5,7},B={1,2,3,4} and C={2,4,6} Does An(BUC) = (AnB) UC?

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beckden | High School Teacher | (Level 1) Educator

Posted September 8, 2012 at 3:00 AM (Answer #1)

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`Ann(BuuC) = {1,3,5,7}nn({1,2,3,4}uu{2,4,6}) `

`= {1,3,5,7}nn({1,2,3,4,6})`

`={1,3}`

`(AnnB)uuC = ({1,3,5,7}nn{1,2,3,4})uu{2,4,6}`

`= {1,3}uu{2,4,6}`

`={1,2,3,4,6}`

So no `Ann(BuuC) != (AnnB)uuC`

This is like asking does `A-(B+C) = (A-B)+C`

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