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Other input terms : A union B, A intersect B, A', P(A), A - B, A delta B, A cross B, |A|, 1 belongsto A, A subset B, (A union B)' = A' intersect B'
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 Problem: A={x<=5, x in N}, B={2<=x<=8, x in N}, U={1<=x<=10, x in N}, find (A union B)' = A' intersect B' [ Calculator, Method and examples ]Solution:Your problem -> A={x<=5, x in N}, B={2<=x<=8, x in N}, U={1<=x<=10, x in N}, find (A union B)' = A' intersect B'U={1<=x<=10, x in n}:.U={1,2,3,4,5,6,7,8,9,10}A={x<=5, x in n}:.A={1,2,3,4,5}B={2<=x<=8, x in n}:.B={2,3,4,5,6,7,8}To find LHS = (A uu B)'A uu B = {1,2,3,4,5} uu {2,3,4,5,6,7,8}= {1,color{red}{2},color{green}{3},color{blue}{4},color{maroon}{5}} uu {color{red}{2},color{green}{3},color{blue}{4},color{maroon}{5},6,7,8}= {1,2,3,4,5,6,7,8}(A uu B)' = {1,2,3,4,5,6,7,8}'= {9,10}:. (A uu B)' = {9,10} ->(1)To find RHS = A' ∩ B'A' = {1,2,3,4,5}'= {6,7,8,9,10}B' = {2,3,4,5,6,7,8}'= {1,9,10}A' nn B' = {6,7,8,9,10} nn {1,9,10}= {6,7,8,color{red}{9},color{green}{10}} nn {1,color{red}{9},color{green}{10}}= {9,10}:. A' ∩ B' = {9,10} ->(2)From (1) and (2):. (A uu B)' = A' ∩ B'

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