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What is the union of the sets {a, b} and {b, c}?
What is the union of the sets {a, b} and {b, c}?
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Practice Questions
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Q1
What is the union of the sets {a, b} and {b, c}?
{a, b}
{a, b, c}
{b, c}
{a, c}
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The union of two sets is the set of elements that are in either set. Here, {a, b} ∪ {b, c} = {a, b, c}.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the union of the sets {a, b} and {b, c}?
Solution:
The union of two sets is the set of elements that are in either set. Here, {a, b} ∪ {b, c} = {a, b, c}.
Steps: 8
Show Steps
Step 1: Identify the first set, which is {a, b}.
Step 2: Identify the second set, which is {b, c}.
Step 3: List all the unique elements from both sets.
Step 4: From the first set, we have 'a' and 'b'.
Step 5: From the second set, we have 'b' and 'c'.
Step 6: Combine the elements: 'a', 'b', and 'c'.
Step 7: Remove any duplicates. 'b' appears in both sets, so we only list it once.
Step 8: The final union of the sets is {a, b, c}.
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