Let the universal set be U = {1, 2, 3, 4, 5} and A = {2, 4}. What is A'?
Answer and explanation
Correct answer: {1, 3, 5}
The complement A' consists of all elements in the universal set U that are not present in A. Starting with U = {1, 2, 3, 4, 5}, remove the elements 2 and 4 belonging to A. The remaining elements are 1, 3, and 5. Thus A' = {1, 3, 5}, so option A is correct. The complement always depends on the specified universal set.
Frequently asked questions
What is the correct answer to this question?
{1, 3, 5}
Why is this the correct answer?
The complement A' consists of all elements in the universal set U that are not present in A. Starting with U = {1, 2, 3, 4, 5}, remove the elements 2 and 4 belonging to A. The remaining elements are 1, 3, and 5. Thus A' = {1, 3, 5}, so option A is correct. The complement always depends on the specified universal set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.