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{even numbers between 4 and 34}
C = {6, 10, 16, 22, 24, 28, 30, 32, 34}
D = {4, 6, 10, 16, 18, 24, 28, 30, 34}
List the elements in C' n D'
C'nD' = {
Separate answers with commas
=
'

User Baryo
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1 Answer

5 votes

Answer:

C'nD' = {5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33}

Explanation:

C' is the complement of C, which contains all the numbers not in C. Since C contains all the even numbers between 4 and 34, C' contains all the odd numbers between 4 and 34 and 4 and 36.

C' = {4, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 36}

Similarly, D' contains all the numbers that are not in D, which are the even numbers between 5 and 33, as well as 4 and 34.

D' = {5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33}

The intersection of C' and D' contains only the numbers in both C' and D'. Therefore,

C' n D' = {5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33}

So, the elements in C' n D' are all odd numbers between 5 and 33.

User ITukker
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