If U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday} and A = {Saturday, Sunday}, what does Aᶜ represent?
Answer and explanation
Correct answer: {Monday, Tuesday, Wednesday, Thursday, Friday}
The universal set U contains all seven days, while A contains the two weekend days, Saturday and Sunday. The complement Aᶜ therefore contains every day in U that is not in A: Monday through Friday. Hence option A is correct. Option B is A itself, option C includes the weekend days that must be excluded, and option D incorrectly claims that no day remains.
Frequently asked questions
What is the correct answer to this question?
{Monday, Tuesday, Wednesday, Thursday, Friday}
Why is this the correct answer?
The universal set U contains all seven days, while A contains the two weekend days, Saturday and Sunday. The complement Aᶜ therefore contains every day in U that is not in A: Monday through Friday. Hence option A is correct. Option B is A itself, option C includes the weekend days that must be excluded, and option D incorrectly claims that no day remains.
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.
