If the universal set is U = {x : x is a digit} and A = {2, 4, 6, 8}, what is A′?
Advertisement
Answer and explanation
Correct answer: {0,1,3,5,7,9}
The digits in the decimal system form the universal set U = {0,1,2,3,4,5,6,7,8,9}. The complement A′ consists of every element of U that is not an element of A. Removing 2, 4, 6, and 8 from U leaves {0,1,3,5,7,9}. Therefore option A is correct. The zero must be included because 0 is also a digit.
Frequently asked questions
What is the correct answer to this question?
{0,1,3,5,7,9}
Why is this the correct answer?
The digits in the decimal system form the universal set U = {0,1,2,3,4,5,6,7,8,9}. The complement A′ consists of every element of U that is not an element of A. Removing 2, 4, 6, and 8 from U leaves {0,1,3,5,7,9}. Therefore option A is correct. The zero must be included because 0 is also a digit.
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.
Advertisement