If U = {1, 2, 3, ..., 15} and A is the set of elements of U that are multiples of 5, what is Aᶜ?
Answer and explanation
Correct answer: {1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14}
The multiples of 5 in U are 5, 10, and 15, so A = {5, 10, 15}. The complement is found by taking U − A. Removing these three multiples from the numbers 1 through 15 leaves {1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14}. Therefore option A is correct; option B lists A itself, not its complement.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14}
Why is this the correct answer?
The multiples of 5 in U are 5, 10, and 15, so A = {5, 10, 15}. The complement is found by taking U − A. Removing these three multiples from the numbers 1 through 15 leaves {1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14}. Therefore option A is correct; option B lists A itself, not its complement.
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.
