If U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday} and W = {Saturday, Sunday}, what is W′?
Answer and explanation
Correct answer: {Monday, Tuesday, Wednesday, Thursday, Friday}
The universal set U contains all seven days of the week. W contains the two weekend days, Saturday and Sunday. The complement W′ therefore contains every day in U that is not in W: Monday, Tuesday, Wednesday, Thursday, and Friday. Thus, W′ has five elements, and option A is correct.
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 of the week. W contains the two weekend days, Saturday and Sunday. The complement W′ therefore contains every day in U that is not in W: Monday, Tuesday, Wednesday, Thursday, and Friday. Thus, W′ has five elements, and option A is 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.
