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 $C$ .
${1, 2, 3, 4, 5, 6, 7, 8}$

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Solution

$A \subset {1, 2, 3, 4, 5, 6, 7, 8}$
$B \subset {1, 2, 3, 4, 5, 6, 7, 8}$
However, $C \subset̸ {1, 2, 3, 4, 5, 6, 7, 8}$
Therefore, the set ${1, 2, 3, 4, 5, 6, 7, 8}$ cannot be the universal set for the sets $A, B$ and $C$ .

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Similar questions

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}

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 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}

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

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{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}

Q. 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 ____________.

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}

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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.{1,2,3,4,5,6,7,8}

A⊂{1,2,3,4,5,6,7,8}B⊂{1,2,3,4,5,6,7,8}However, C⊄{1,2,3,4,5,6,7,8}Therefore, the set {1,2,3,4,5,6,7,8} cannot be the universal set for the sets A,B and C.

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 $C$ .
${1, 2, 3, 4, 5, 6, 7, 8}$

$A \subset {1, 2, 3, 4, 5, 6, 7, 8}$
$B \subset {1, 2, 3, 4, 5, 6, 7, 8}$
However, $C \subset̸ {1, 2, 3, 4, 5, 6, 7, 8}$
Therefore, the set ${1, 2, 3, 4, 5, 6, 7, 8}$ cannot be the universal set for the sets $A, B$ and $C$ .