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 Solve any problem (step by step solutions) Input table (Matrix, Statistics)
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={3<=x<=7, x in N}, C={1<=x<=3, x in N}, find A union (B union C) = (A union B) union C [ Calculator, Method and examples ]Solution:Your problem -> A={x<=5, x in N}, B={3<=x<=7, x in N}, C={1<=x<=3, x in N}, find A union (B union C) = (A union B) union CA={x<=5, x in n}:.A={1,2,3,4,5}B={3<=x<=7, x in n}:.B={3,4,5,6,7}C={1<=x<=3, x in n}:.C={1,2,3}To find LHS = A uu (B uu C)B uu C = {3,4,5,6,7} uu {1,2,3}= {color{red}{3},4,5,6,7} uu {1,2,color{red}{3}}= {3,4,5,6,7,1,2}A uu (B uu C) = {1,2,3,4,5} uu {3,4,5,6,7,1,2}= {color{red}{1},color{green}{2},color{blue}{3},color{maroon}{4},color{fuchsia}{5}} uu {color{blue}{3},color{maroon}{4},color{fuchsia}{5},6,7,color{red}{1},color{green}{2}}= {1,2,3,4,5,6,7}:. A uu (B uu C) = {1,2,3,4,5,6,7} ->(1)To find RHS = (A uu B) uu CA uu B = {1,2,3,4,5} uu {3,4,5,6,7}= {1,2,color{red}{3},color{green}{4},color{blue}{5}} uu {color{red}{3},color{green}{4},color{blue}{5},6,7}= {1,2,3,4,5,6,7}(A uu B) uu C = {1,2,3,4,5,6,7} uu {1,2,3}= {color{red}{1},color{green}{2},color{blue}{3},4,5,6,7} uu {color{red}{1},color{green}{2},color{blue}{3}}= {1,2,3,4,5,6,7}:. (A uu B) uu C = {1,2,3,4,5,6,7} ->(2)From (1) and (2):. A uu (B uu C) = (A uu B) uu C

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