If U = {a, b, c, d, f} and C = {a, c, f}, which element is in C', the complement of C relative to U?
Answer and explanation
Correct answer: b
The complement C' contains elements of the universal set U that are not contained in C. The elements a, c, and f are already in C, so they cannot be in C'. Removing them from U = {a,b,c,d,f} leaves C' = {b,d}. Therefore b is in C'. Although d is also in the complement, it is not among the answer choices; among the given options, only b is correct.
Frequently asked questions
What is the correct answer to this question?
b
Why is this the correct answer?
The complement C' contains elements of the universal set U that are not contained in C. The elements a, c, and f are already in C, so they cannot be in C'. Removing them from U = {a,b,c,d,f} leaves C' = {b,d}. Therefore b is in C'. Although d is also in the complement, it is not among the answer choices; among the given options, only b 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.
