The universal set is U={m,n,o,p,q,r,s,t} and A={m,o,q,s}. What is Aᶜ?
Answer and explanation
Correct answer: {n,p,r,t}
The complement Aᶜ consists of all elements in the universal set U that are not elements of A. Starting with U and removing m, o, q, and s leaves n, p, r, and t. Hence Aᶜ={n,p,r,t}, so option B is correct. The complement depends on the chosen universal set; it is not simply the set of elements absent from the written list without reference to U.
Frequently asked questions
What is the correct answer to this question?
{n,p,r,t}
Why is this the correct answer?
The complement Aᶜ consists of all elements in the universal set U that are not elements of A. Starting with U and removing m, o, q, and s leaves n, p, r, and t. Hence Aᶜ={n,p,r,t}, so option B is correct. The complement depends on the chosen universal set; it is not simply the set of elements absent from the written list without reference to U.
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.
