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------------------------------------------------ Set operations and venn diagrams

A. given the venn diagram below, identify the elemnts for the indicated set.

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Answer :

The interpretation of the Venn Diagram is as follows:

a) X = {2, 5, 7, 9}

b) Y = {3, 5, 6, 7, 10}

c) Y' = {1, 2, 4, 8, 9}

d) U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

e) X ∪ Y = {2, 3, 5, 6, 7, 9, 10}

f) X ∩ Y = {5, 7}

g) X - Y = {2, 9}

h) Y - X = {3, 6, 10

i) (X ∩ Y)' = {1, 2, 3, 4, 6, 8, 9, 10}

j) (X ∪ Y)' = {1, 4, 8}

How to Interpret the Venn Diagram?

a) X represents all the terms that are part of X and they are:

X = {2, 5, 7, 9}

b) Y represents all the terms that are part of Y and they are:

Y = {3, 5, 6, 7, 10}

c) Y' represents all the terms that are not part of Y and they are:

Y' = {1, 2, 4, 8, 9}

d) U represents the universal set of all the terms and they are:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

e) X ∪ Y is the union of X and Y which is:

X ∪ Y = {2, 3, 5, 6, 7, 9, 10}

f) X ∩ Y is the intersection of X and Y which is:

X ∩ Y = {5, 7}

g) X - Y = Y' = {2, 9}

h) Y - X = X' = {3, 6, 10}

i) (X ∩ Y)' = {1, 2, 3, 4, 6, 8, 9, 10}

j) (X ∪ Y)' = {1, 4, 8}

Read more about Venn Diagram at: brainly.com/question/24713052

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