Let S be the universal set, where:
S = {1,2,3,4,5,6,7,8,9,10}
Let sets A and B be subsets of S, where:
Set A = {1,2,3,4,5,6,9}
Set B = {2,4,6,7,8,10}
Find the following:
LIST the elements in the set (A'):
(A') = {
}
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set (B'):
(B') = {
}
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
You may want to draw a Venn Diagram to help answer this question.

Respuesta :

A' = {7,8,10}

B' = {1,3,59}

Given,

Let S be the universal set, where:

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

Let sets A and B be subsets of S, where:

Set A = {1,2,3,4,5,6,9}

Set B = {2,4,6,7,8,10}

We need to find the elements in the set (A') and (B)'

What is a complement of a set?

A compliment of a set D is denoted by D' or D bar.

It means the set contains all elements in the universal set U other than the elements in set D.

Example:

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

D = {1,2,3,4,5}

D' = {6,7,8,9}

Find A' and B'

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

A =  {1,2,3,4,5,6,9}

B = {2,4,6,7,8,10}

A' = {7,8,10}

B' = {1,3,59}

Thus,

A' = {7,8,10}

B' = {1,3,59}

Learn more about the complement of sets here:

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