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If set X = {a, b, c} and set Y = {b, c, d}, what is the union of sets X and Y?
If set X = {a, b, c} and set Y = {b, c, d}, what is the union of sets X and Y?
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Practice Questions
1 question
Q1
If set X = {a, b, c} and set Y = {b, c, d}, what is the union of sets X and Y?
{a, b, c, d}
{b, c}
{a, b}
{c, d}
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The union of sets X and Y includes all unique elements from both sets. Thus, the union is {a, b, c, d}.
Questions & Step-by-step Solutions
1 item
Q
Q: If set X = {a, b, c} and set Y = {b, c, d}, what is the union of sets X and Y?
Solution:
The union of sets X and Y includes all unique elements from both sets. Thus, the union is {a, b, c, d}.
Steps: 6
Show Steps
Step 1: Identify the elements in set X, which are {a, b, c}.
Step 2: Identify the elements in set Y, which are {b, c, d}.
Step 3: Combine all the elements from both sets, which gives us {a, b, c, b, c, d}.
Step 4: Remove any duplicate elements to get only unique elements. The duplicates here are 'b' and 'c'.
Step 5: The unique elements left are {a, b, c, d}.
Step 6: Therefore, the union of sets X and Y is {a, b, c, d}.
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