If U = {1, 2, ..., 12} and A = {1, 2, 3, 4, 5}, what is A' union A?
Answer and explanation
Correct answer: U
For every subset A of a universal set U, the elements of A and the elements outside A together cover all of U. Therefore A union A' = U, which is the complement law of excluded alternatives. In this question, A' contains 6 through 12, and combining it with A gives every element from 1 through 12. Thus option A is correct.
Frequently asked questions
What is the correct answer to this question?
U
Why is this the correct answer?
For every subset A of a universal set U, the elements of A and the elements outside A together cover all of U. Therefore A union A' = U, which is the complement law of excluded alternatives. In this question, A' contains 6 through 12, and combining it with A gives every element from 1 through 12. Thus option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
