If U = {1, 2, ..., 20}, A = {x ∈ U : x ≤ 12}, and B = {x ∈ U : x is odd}, what is A' ∩ B?
Answer and explanation
Correct answer: {13, 15, 17, 19}
A consists of the numbers 1 through 12, so its complement within U is A' = {13, 14, 15, 16, 17, 18, 19, 20}. Set B contains the odd numbers. Intersecting A' with B keeps only the odd members greater than 12: {13, 15, 17, 19}. Option D gives the whole complement without applying the intersection with B.
Frequently asked questions
What is the correct answer to this question?
{13, 15, 17, 19}
Why is this the correct answer?
A consists of the numbers 1 through 12, so its complement within U is A' = {13, 14, 15, 16, 17, 18, 19, 20}. Set B contains the odd numbers. Intersecting A' with B keeps only the odd members greater than 12: {13, 15, 17, 19}. Option D gives the whole complement without applying the intersection with B.
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.
