Question: Using the laws (6.1)(6.6), verify the statement stating clearly the law used in each step. Data from Laws

Using the laws (6.1)–(6.6), verify the statement

(ANB) U (ANBOC) UA = U

stating clearly the law used in each step.


Data from Laws

AUB=BUA (union is commutative) ANB=BOA (intersection is commutative) (6.1)

AUA = A AnA = A (union is idempotent) (intersection is idempotent) (6.2)

AU = A An U = A ( is an identity relative to union) (U is an identity relative to intersection) (6.3)

AU= U AN= (6.4)

AU (BUC) = (AUB) UC (union is associative) An (BNC) = (ANB) nC (intersection is associative) (6.5)

AU (BNC) = (AUB) N (AUC) (union is distributive over intersection) AN (BUC) = (ANB) U (ANC) (intersection is

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