The attached figures represent the shaded areas of the given set operations
How to identify the shaded regions?
To shade the given regions of the sets, we need to highlight the following set operations
- Intersection: This represents the elements that are common between two or more sets
- Union: This represents the totality of all elements in two or more sets (without repetition of elements)
- Complement: This represents the elements that are not present in the given set
Using the above definition of set operations and the Venn diagram, we have the following values:
- X U Y' = Y'
- X n Y' = ∅ i.e an empty set
- (X U Y)' = X' n Y'
- (X n Y)' = U i.e. the universal set
- X' U Y' = X' n Y'
- X' n Y' = X' U Y'
- (X' U Y)' = X
- (X U Y')' = Y
See attachment for the shaded areas of the above set operations
Read more about sets and Venn diagram at:
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