If the universal set is U = {p,q,r,s,t} and A = {p,r,t}, which of the following elements belongs to Aᶜ?
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Answer and explanation
Correct answer: q
The complement Aᶜ contains all elements of the universal set U that are not members of A. Since A = {p,r,t}, removing these elements from U leaves Aᶜ = {q,s}. Among the given choices, q belongs to this complement, whereas p, r, and t are already elements of A. Hence option C is the only correct answer.
Frequently asked questions
What is the correct answer to this question?
q
Why is this the correct answer?
The complement Aᶜ contains all elements of the universal set U that are not members of A. Since A = {p,r,t}, removing these elements from U leaves Aᶜ = {q,s}. Among the given choices, q belongs to this complement, whereas p, r, and t are already elements of A. Hence option C is the only correct answer.
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.
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