Find the union of the following sets.
(i) $A = {1, 2, 3, 5, 6}$ and $B = {4, 5, 6, 7, 8}$
(ii) $X = {3, 4, 5}$ and $Y = \emptyset$

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Solution

(i) $A = {1, 2, 3, 5, 6}$ and $B = {4, 5, 6, 7, 8}$
1,2,3,5,6 ; 4,5,6,7,8 (repeated)
$∴ A \cup B = {1, 2, 3, 4, 5, 6, 7, 8}$
(ii) $X = {3, 4, 5}, Y = \emptyset$ There are no elements in Y $∴ X \cup Y = {3, 4, 5}$

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