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Home » 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(i) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}(ii) {1, 2, 3, 4, 5, 6, 7, 8}
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(i) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}(ii) {1, 2, 3, 4, 5, 6, 7, 8}
CBSE | Class 11 | Exercise 1.3 | Maths | NCERT | Sets
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(i) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}(ii) {1, 2, 3, 4, 5, 6, 7, 8}

(i) A ⊂ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

B ⊂ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

C ⊂ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

As a result, the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set for the given sets.

(ii) A ⊂ {1, 2, 3, 4, 5, 6, 7, 8}

B ⊂ {1, 2, 3, 4, 5, 6, 7, 8}

So C ⊄ {1, 2, 3, 4, 5, 6, 7, 8}

As a result, the set {1, 2, 3, 4, 5, 6, 7, 8} cannot be the universal set for the given sets.

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