SOLUTION: U= {a,b,c,d,e,f,g} A={a,c,e,g,h} B={a,b,c,d} C={b,c,g,i} (A U B') n (C n B)

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Question 1190042: U= {a,b,c,d,e,f,g} A={a,c,e,g,h} B={a,b,c,d} C={b,c,g,i}
(A U B') n (C n B)

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
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Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

U= {a,b,c,d,e,f,g} A={a,c,e,g,h} B={a,b,c,d} C={b,c,g,i}
(A U B') n (C n B)
first find B' -> all elements in U that are not in B
B'= {e,f,g}
then find
(A U B')-> all elements in A or in B'
(A U B')={a,c,e,g,h} U {e,f,g} ={a,c,e, f,g,h}
then find
(C n B)-> all elements in C and in B
(C n B)={b,c,g,i} n {a,b,c,d} ={b,c}
finally
(A U B') n (C n B)->all elements in (A U B') and (C n B)
(A U B') n (C n B)={a,c,e,f,g,h} n {b,c} = { c}


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