If the universal set U = {north, south, east, west} and A = {north, south}, what is Aᶜ?
Answer and explanation
Correct answer: {east, west}
The complement of A is formed relative to the stated universal set U. It contains the directions in U that are not listed in A. Since A contains north and south, removing these two directions from U leaves east and west. Therefore, Aᶜ = {east, west}. The complement is not the same as A, U, or the empty set.
Frequently asked questions
What is the correct answer to this question?
{east, west}
Why is this the correct answer?
The complement of A is formed relative to the stated universal set U. It contains the directions in U that are not listed in A. Since A contains north and south, removing these two directions from U leaves east and west. Therefore, Aᶜ = {east, west}. The complement is not the same as A, U, or the empty set.
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.
