If the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, set A = {2, 4, 6, 8}, and set B = {1, 2, 3}, what is the complement of A?
Practice Questions
1 question
Q1
If the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, set A = {2, 4, 6, 8}, and set B = {1, 2, 3}, what is the complement of A?
{1, 3, 5, 7, 9, 10}
{1, 3, 5, 7, 9}
{2, 4, 6, 8}
{1, 2, 3}
The complement of A in U is the set of elements in U that are not in A, which is {1, 3, 5, 7, 9, 10}.
Questions & Step-by-step Solutions
1 item
Q
Q: If the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, set A = {2, 4, 6, 8}, and set B = {1, 2, 3}, what is the complement of A?
Solution: The complement of A in U is the set of elements in U that are not in A, which is {1, 3, 5, 7, 9, 10}.
Steps: 6
Step 1: Identify the universal set U, which is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Step 2: Identify set A, which is {2, 4, 6, 8}.
Step 3: To find the complement of A, we need to find the elements in U that are not in A.
Step 4: Look at each element in U one by one: 1 is not in A, 2 is in A, 3 is not in A, 4 is in A, 5 is not in A, 6 is in A, 7 is not in A, 8 is in A, 9 is not in A, and 10 is not in A.
Step 5: Collect all the elements that are not in A: {1, 3, 5, 7, 9, 10}.
Step 6: The complement of A in U is {1, 3, 5, 7, 9, 10}.
