If U = {black, white, red, yellow} and A = {black, yellow}, what is A′, the complement of A in U?
Answer and explanation
Correct answer: {white, red}
The complement A′ in U consists of all elements of U that are not in A. From U = {black, white, red, yellow}, remove the elements black and yellow because they belong to A. The remaining elements are white and red, so A′ = {white, red}. Therefore option B is correct; a complement cannot contain any element already present in A.
Frequently asked questions
What is the correct answer to this question?
{white, red}
Why is this the correct answer?
The complement A′ in U consists of all elements of U that are not in A. From U = {black, white, red, yellow}, remove the elements black and yellow because they belong to A. The remaining elements are white and red, so A′ = {white, red}. Therefore option B is correct; a complement cannot contain any element already present in A.
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.
