If U = {a,b,c,d} and A = {b,d}, find Aᶜ.
Answer and explanation
Correct answer: {a,c}
The complement of A is formed by selecting elements of U that do not belong to A. The universal set has four elements: a, b, c, and d. Since b and d are already in A, the elements left in U are a and c. Hence Aᶜ = {a,c}. Option B repeats A, while options C and D contain one element from A or omit a required complementary element.
Frequently asked questions
What is the correct answer to this question?
{a,c}
Why is this the correct answer?
The complement of A is formed by selecting elements of U that do not belong to A. The universal set has four elements: a, b, c, and d. Since b and d are already in A, the elements left in U are a and c. Hence Aᶜ = {a,c}. Option B repeats A, while options C and D contain one element from A or omit a required complementary element.
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.
