If U = {all digits} and A = {0, 2, 4, 6, 8}, what is A'?
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Answer and explanation
Correct answer: {1, 3, 5, 7, 9}
The complement A' consists of all elements in the universal set U that are not in A. The digits are 0 through 9, while A contains all even digits: 0, 2, 4, 6, and 8. Removing them from U leaves the odd digits 1, 3, 5, 7, and 9. Therefore A' is {1, 3, 5, 7, 9}, so option A is correct.
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' consists of all elements in the universal set U that are not in A. The digits are 0 through 9, while A contains all even digits: 0, 2, 4, 6, and 8. Removing them from U leaves the odd digits 1, 3, 5, 7, and 9. Therefore A' is {1, 3, 5, 7, 9}, so option A 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.
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