Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}.

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 AB and C can be____________.

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

$A \subseteq U$

$B \subseteq U$

and $C \subseteq U$

i.e $U=\{0,1,2,3,4,5,6,8\}$

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