Questions: Find the union of the sets. 2,4,6 ∪ 1,3,5,7 Choose the correct answer below. A. 2,4,6 ∪ 1,3,5,7 = ∅ B. 2,4,6 ∪ 1,3,5,7 = 1,3,5,7 C. 2,4,6 ∪ 1,3,5,7 = 1,2,3,4,5,6,7 D. 2,4,6 ∪ 1,3,5,7 = 2,4,6

Find the union of the sets.
2,4,6 ∪ 1,3,5,7

Choose the correct answer below.
A. 2,4,6 ∪ 1,3,5,7 = ∅
B. 2,4,6 ∪ 1,3,5,7 = 1,3,5,7
C. 2,4,6 ∪ 1,3,5,7 = 1,2,3,4,5,6,7
D. 2,4,6 ∪ 1,3,5,7 = 2,4,6
Transcript text: Find the union of the sets. \[ \{2,4,6\} \cup\{1,3,5,7\} \] Choose the correct answer below. A. $\{2,4,6\} \cup\{1,3,5,7\}=\varnothing$ B. $\{2,4,6\} \cup\{1,3,5,7\}=\{1,3,5,7\}$ C. $\{2,4,6\} \cup\{1,3,5,7\}=\{1,2,3,4,5,6,7\}$ D. $\{2,4,6\} \cup\{1,3,5,7\}=\{2,4,6\}$
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Solution

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Solution Steps

Step 1: Identify the Sets

We are given two sets \(A\) and \(B\). The set \(A\) is: {2, 4, 6} The set \(B\) is: {1, 3, 5, 7}

Step 2: Combine Elements

We combine all elements from both sets \(A\) and \(B\), ensuring each element is unique.

Step 3: Create the Union Set

The union set \(C\) is formed by including all unique elements from both \(A\) and \(B\).

Final Answer:

The resulting set \(C\) is the union of sets \(A\) and \(B\), containing all unique elements from both sets. Thus, \(C = {1, 2, 3, 4, 5, 6, 7}\).

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