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If the universal set U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?
If the universal set U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?
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Q1
If the universal set U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?
{3, 4, 5}
{1, 2}
{1, 2, 3}
{2, 3, 4, 5}
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The complement of A, denoted A', includes all elements in U that are not in A. Thus, A' = {3, 4, 5}.
Questions & Step-by-step Solutions
1 item
Q
Q: If the universal set U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?
Solution:
The complement of A, denoted A', includes all elements in U that are not in A. Thus, A' = {3, 4, 5}.
Steps: 7
Show Steps
Step 1: Identify the universal set U, which is {1, 2, 3, 4, 5}.
Step 2: Identify the set A, which is {1, 2}.
Step 3: Determine the elements in U that are not in A.
Step 4: List the elements in U: 1, 2, 3, 4, 5.
Step 5: Remove the elements of A (1 and 2) from U.
Step 6: The remaining elements are 3, 4, and 5.
Step 7: Therefore, the complement of A, denoted A', is {3, 4, 5}.
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