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Use the given sets to find (A∪B)∪C

.
A={4,5,6,7,8,9}
B={4,6,8,10,12,14}
C={1,3,5,7,9,11,13,15}

User Glav
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1 Answer

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Final answer:

To find (A∪B)∪C, we first find the union A∪B, which is {4, 5, 6, 7, 8, 9, 10, 12, 14}, and then we unite this with set C to get {1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}, including all unique elements from sets A, B, and C.

Step-by-step explanation:

To find (A∪B)∪C using the given sets, first we need to determine the elements of set A∪B, which represents the union of A and B. This union includes all the elements that are either in set A or in set B or in both, without repeating any elements. Then we combine this union with set C to find the ultimate union.

The given sets are:

  • A = {4,5,6,7,8,9}
  • B = {4,6,8,10,12,14}
  • C = {1,3,5,7,9,11,13,15}

To find A∪B, we combine the unique elements:

A∪B = {4, 5, 6, 7, 8, 9, 10, 12, 14}

Then we take this union and combine it with set C to get (A∪B)∪C:

(A∪B)∪C = {1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

Note that we include each element only once even if it appears in more than one set.

User Ccarton
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