If the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, set A = {2, 4, 6, 8},

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Question: 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?

Options:

Correct Answer: {1, 3, 5, 7, 9, 10}

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}.

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?

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?

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}.

Set Complement – The complement of a set A in a universal set U consists of all elements in U that are not in A.
Universal Set – The universal set U contains all possible elements under consideration for a particular discussion or problem.