Which option is the set-builder form of L = {2, 4, 6, 8, 10}?
Answer and explanation
Correct answer: L = {x : x is an even natural number and x ≤ 10}
Set-builder form states the rule that generates all members of a set. Every element of L is an even natural number and is less than or equal to 10, so option A produces exactly 2, 4, 6, 8, and 10. Option B gives odd numbers, option C includes numbers such as 1 and 3 and excludes 10, and option D gives primes rather than all even numbers.
Frequently asked questions
What is the correct answer to this question?
L = {x : x is an even natural number and x ≤ 10}
Why is this the correct answer?
Set-builder form states the rule that generates all members of a set. Every element of L is an even natural number and is less than or equal to 10, so option A produces exactly 2, 4, 6, 8, and 10. Option B gives odd numbers, option C includes numbers such as 1 and 3 and excludes 10, and option D gives primes rather than all even numbers.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
