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Standard VIII

Mathematics

Universal Set

Given the set...

Question

Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Then the universal set of all the three sets A, B and C can be ____________.

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Solution

A = {1, 3, 5}
B = {2, 4, 6}
C = {0, 2, 4, 6, 8}
Then universal let ∪ for A, B and C is such that
A ⊆U
B ⊆U
and C⊆U
i.e U = {0, 1, 2, 3, 4, 5, 6, 8}

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Similar questions

Q. 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 universal set(s) for all the three

(i) {0, 1, 2, 3, 4, 5, 6}

(i i) ϕ

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

(i v) {1, 2, 3, 4, 5, 6, 7, 8}

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

(i) {0, 1, 2, 3, 4, 5, 6}

(ii) $Φ$

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

(iv) {1, 2, 3, 4, 5, 6, 7, 8}

Q. 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 universal set (s) for all the three sets

A, B

and

C

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

ii)

ϕ

iii)

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

iv)

{0, 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}

(ii) Φ

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

(iv) {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 universal set for all the three sets A, B and C

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Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Then the universal set of all the three sets A, B and C can be ____________.

A = {1, 3, 5} B = {2, 4, 6} C = {0, 2, 4, 6, 8} Then universal let ∪ for A, B and C is such that A ⊆U B ⊆U and C⊆U i.e U = {0, 1, 2, 3, 4, 5, 6, 8}

A = {1, 3, 5}
B = {2, 4, 6}
C = {0, 2, 4, 6, 8}
Then universal let ∪ for A, B and C is such that
A ⊆U
B ⊆U
and C⊆U
i.e U = {0, 1, 2, 3, 4, 5, 6, 8}