What is the set A = {x ∈ N : x < 12 and x is neither prime nor composite} equal to?
Answer and explanation
Correct answer: A = {1}
Among the positive natural numbers less than 12, the number 1 is neither prime nor composite. A prime number has exactly two distinct positive divisors, while a composite number has more than two; 1 has only one positive divisor, itself. Every other positive natural number below 12 is either prime or composite. Therefore A = {1}.
Frequently asked questions
What is the correct answer to this question?
A = {1}
Why is this the correct answer?
Among the positive natural numbers less than 12, the number 1 is neither prime nor composite. A prime number has exactly two distinct positive divisors, while a composite number has more than two; 1 has only one positive divisor, itself. Every other positive natural number below 12 is either prime or composite. Therefore A = {1}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
