(Y∩X')' ∪ Z = { a, b , c , d , e , f , g }
Y' - X = { a, c }
How to determine the value
From the information given, we have that;
- U = { a, b, c, d, e, f, g }
- X = { a, c , e , g}
- Y = {a , b , c}
- Z = { b, c, d , e , f}
22. (Y∩X')' ∪ Z
First, let's find X prime', sets found in the universal set and not in X
X' = { b, d, f }
(Y∩X') = Subsets common between Y and X'
(Y∩X') = { b }
(Y∩X')' = Subsets found in the universal set and not in in (Y∩X')
(Y∩X')' = { a, c , d , e , f, g}
(Y∩X')' ∪ Z = Combination of subsets in (Y∩X')' and Z without repetition
(Y∩X')' ∪ Z = { a, b , c , d , e , f , g }
28. Y' - X
Y' = subsets in the universal set and not in Y
Y' = { d, e ,f ,g }
Y' - X = { a, c }
Thus, the sets are (Y∩X')' ∪ Z = { a, b , c , d , e , f , g } and Y' - X = { a, c }
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