If U = {sun, moon, star} and A = {sun}, what is A′, the complement of A?
Answer and explanation
Correct answer: {moon, star}
The complement A′ is defined relative to U and consists of every element of U that is not in A. From U = {sun, moon, star}, remove sun because it is the only element of A. The remaining elements are moon and star, so A′ = U − A = {moon, star}. Thus option B is correct; the other options omit a required element or repeat A.
Frequently asked questions
What is the correct answer to this question?
{moon, star}
Why is this the correct answer?
The complement A′ is defined relative to U and consists of every element of U that is not in A. From U = {sun, moon, star}, remove sun because it is the only element of A. The remaining elements are moon and star, so A′ = U − A = {moon, star}. Thus option B is correct; the other options omit a required element or repeat 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.
