If U = {a, e, i, o, u, b, c, d} and A = {a, e, i, o, u}, what is Aᶜ?
Answer and explanation
Correct answer: {b, c, d}
The complement Aᶜ contains the elements of U that are not in A. Set A contains all five listed vowels, while U also contains the letters b, c, and d. Removing the vowels from U leaves exactly {b, c, d}. Therefore option A is correct. This example also shows why the universal set must always be specified before finding a complement.
Frequently asked questions
What is the correct answer to this question?
{b, c, d}
Why is this the correct answer?
The complement Aᶜ contains the elements of U that are not in A. Set A contains all five listed vowels, while U also contains the letters b, c, and d. Removing the vowels from U leaves exactly {b, c, d}. Therefore option A is correct. This example also shows why the universal set must always be specified before finding a complement.
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.
