If U = {1,2,3,4,5,6,7,8,9,10} and A = {x ∈ U : x is a multiple of 2}, what is A′?
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Answer and explanation
Correct answer: {1,3,5,7,9}
The complement A′ is formed relative to the universal set U. The elements of U that are multiples of 2 are A = {2,4,6,8,10}. Removing these elements from U leaves the odd numbers {1,3,5,7,9}. Therefore, option A is correct. The complement includes every element of U that does not belong to A.
Frequently asked questions
What is the correct answer to this question?
{1,3,5,7,9}
Why is this the correct answer?
The complement A′ is formed relative to the universal set U. The elements of U that are multiples of 2 are A = {2,4,6,8,10}. Removing these elements from U leaves the odd numbers {1,3,5,7,9}. Therefore, option A is correct. The complement includes every element of U that does not belong to A.
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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