If U = {red, blue, green, yellow} and C = {red, green}, what is C′?
Answer and explanation
Correct answer: {blue, yellow}
The complement C′ is formed by selecting the elements that belong to U but do not belong to C. The universal set has four colors: red, blue, green, and yellow. Since C contains red and green, the colors left outside C but still inside U are blue and yellow. Thus C′ = {blue, yellow}, making option A correct.
Frequently asked questions
What is the correct answer to this question?
{blue, yellow}
Why is this the correct answer?
The complement C′ is formed by selecting the elements that belong to U but do not belong to C. The universal set has four colors: red, blue, green, and yellow. Since C contains red and green, the colors left outside C but still inside U are blue and yellow. Thus C′ = {blue, yellow}, making option A correct.
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.
