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If the universal set U = {1, 2, 3, 4, 5, 6} and set A = {2, 4, 6}, what is the c
If the universal set U = {1, 2, 3, 4, 5, 6} and set A = {2, 4, 6}, what is the complement of set A?
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Practice Questions
1 question
Q1
If the universal set U = {1, 2, 3, 4, 5, 6} and set A = {2, 4, 6}, what is the complement of set A?
{1, 2, 3}
{1, 3, 5}
{2, 4, 6}
{4, 5, 6}
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The complement of set A consists of elements in the universal set U that are not in set A. Therefore, the complement is {1, 3, 5}.
Questions & Step-by-step Solutions
1 item
Q
Q: If the universal set U = {1, 2, 3, 4, 5, 6} and set A = {2, 4, 6}, what is the complement of set A?
Solution:
The complement of set A consists of elements in the universal set U that are not in set A. Therefore, the complement is {1, 3, 5}.
Steps: 6
Show Steps
Step 1: Identify the universal set U, which is {1, 2, 3, 4, 5, 6}.
Step 2: Identify set A, which is {2, 4, 6}.
Step 3: Look for elements in the universal set U that are not in set A.
Step 4: Check each element in U: 1 is not in A, 2 is in A, 3 is not in A, 4 is in A, 5 is not in A, and 6 is in A.
Step 5: Collect the elements that are not in A: these are 1, 3, and 5.
Step 6: Write the complement of set A, which is {1, 3, 5}.
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