If U = {blue, green, yellow, pink} and A = {green, pink}, what is A′?
Answer and explanation
Correct answer: {blue, yellow}
The complement A′ contains all elements of the universal set U that are not in A. Starting with U = {blue, green, yellow, pink}, remove green and pink because both belong to A. The elements left are blue and yellow, so A′ = U − A = {blue, yellow}. Therefore option B is correct; options C and D include an element that belongs to A.
Frequently asked questions
What is the correct answer to this question?
{blue, yellow}
Why is this the correct answer?
The complement A′ contains all elements of the universal set U that are not in A. Starting with U = {blue, green, yellow, pink}, remove green and pink because both belong to A. The elements left are blue and yellow, so A′ = U − A = {blue, yellow}. Therefore option B is correct; options C and D include an element that belongs to 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.
