Question
If A = {1, 2, 3}, B = {3, 4} and C = {4, 5, 6}, find
$\text{A}\times(\text{B}\cup\text{C})$
$\text{A}\times(\text{B}\cup\text{C})$
✓
Answer
We have,
$\text{A}=\{1,2,3\},\text{ B}=\{3,4\}$ and $\text{C}=\{4,5,6\}$
$\therefore\ \text{B}\cup\text{C}=\{3,4\}\cup\{4,5,6\}=(3,4,5,6)$
$\therefore\ \text{A}\times(\text{B}\cup\text{C})=\{1,2,3\}\times\{3,4,5,6\}$
$=\{(1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2 ,4), (2, 5), (2, 6), (3, 3),(3, 4), (3 ,5), (3, 6)\}$
$\text{A}=\{1,2,3\},\text{ B}=\{3,4\}$ and $\text{C}=\{4,5,6\}$
$\therefore\ \text{B}\cup\text{C}=\{3,4\}\cup\{4,5,6\}=(3,4,5,6)$
$\therefore\ \text{A}\times(\text{B}\cup\text{C})=\{1,2,3\}\times\{3,4,5,6\}$
$=\{(1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2 ,4), (2, 5), (2, 6), (3, 3),(3, 4), (3 ,5), (3, 6)\}$
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