Given $$ U=\{1,2,3,4,5,6,7,8,9\}, A=\{1,2,3,4\}, B=\{2,4,6\}, C=\{1,3,6,9\} $$ Find $$ B \cup C $$ $$ \square $$

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UpStudy AI · Accepted Answer

1. Identify the elements of sets $$ B $$ and $$ C $$:
   - $$ B = \{2, 4, 6\} $$
   - $$ C = \{1, 3, 6, 9\} $$

2. The union of $$ B $$ and $$ C $$, denoted by $$ B \cup C $$, is defined as the set of all elements that belong to $$ B $$, to $$ C $$, or to both:
   $$
   B \cup C = \{ x \mid x \in B \text{ or } x \in C \}
   $$

3. Combine the elements from both sets, removing any duplicates:
   - From $$ B $$: $$2, 4, 6$$
   - From $$ C $$: $$1, 3, 6, 9$$
   - The element $$6$$ appears in both sets, so it is listed only once.

4. Write the resulting union set:
   $$
   B \cup C = \{1, 2, 3, 4, 6, 9\}
   $$

$$\boxed{B \cup C = \{1, 2, 3, 4, 6, 9\}}$$
$$ B \cup C = \{1, 2, 3, 4, 6, 9\} $$

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[

U={1,2,3,4,5,6,7,8,9}, A={1,2,3,4}, B={2,4,6}, C={1,3,6,9}
]

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Given [ U={1,2,3,4,5,6,7,8,9}, A={1,2,3,4}, B={2,4,6}, C={1,3,6,9} ] Find