Given the sets A = {1, 3, 5},B = {2, 4, 6} an | vedclass

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(C) universal set $U$ for a collection of sets must contain all elements present in those sets.
For the given sets $A = \{1, 3, 5\}$,$B = \{2, 4, 6\}

Vedclass · Accepted Answer

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

Vedclass · Answer

(C) universal set $U$ for a collection of sets must contain all elements present in those sets.
For the given sets $A = \{1, 3, 5\}$,$B = \{2, 4, 6\}$,and $C = \{0, 2, 4, 6, 8\}$,the universal set must contain all elements from the union $A \cup B \cup C = \{0, 1, 2, 3, 4, 5, 6, 8\}$.
Option $A$ is $\varnothing$,which does not contain any elements.
Option $B$ is missing $8$.
Option $D$ is missing $0$.
Option $C$ contains all elements of $A$,$B$,and $C$ (i.e.,$0, 1, 2, 3, 4, 5, 6, 8 \in \{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$).
Therefore,the correct universal set is $C$.

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 a universal set for all the three sets $A$,$B$ and $C$?

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