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Given the Sets a = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, Which of the Following May Be Considered as Universals Set (S) for All the Three Sets A, B and C {0, 1, 2, 3, 4, 5, 6} - Mathematics

Sum

Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of the following may be considered as universals set (s) for all the three sets A, B and C

{0, 1, 2, 3, 4, 5, 6}

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Solution

It can be seen that A ⊂ {0, 1, 2, 3, 4, 5, 6}

B ⊂ {0, 1, 2, 3, 4, 5, 6}

However, C ⊄ {0, 1, 2, 3, 4, 5, 6}

Therefore, the set {0, 1, 2, 3, 4, 5, 6} cannot be the universal set for the sets A, B, and C.

Concept: Universal Set
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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.3 | Q 9.1 | Page 13
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