Which option gives the most precise set-builder form of B = {2, 4, 6, 8, 10}?
Answer and explanation
Correct answer: B = {x : x is an even positive integer and 2 ≤ x ≤ 10}
The listed elements are precisely the even positive integers from 2 through 10, inclusive. Option A states all three necessary facts: x is positive, x is even, and its value lies between 2 and 10. Option B includes infinitely many extra even numbers, while C and D include odd numbers. Therefore A is the exact set-builder description.
Frequently asked questions
What is the correct answer to this question?
B = {x : x is an even positive integer and 2 ≤ x ≤ 10}
Why is this the correct answer?
The listed elements are precisely the even positive integers from 2 through 10, inclusive. Option A states all three necessary facts: x is positive, x is even, and its value lies between 2 and 10. Option B includes infinitely many extra even numbers, while C and D include odd numbers. Therefore A is the exact set-builder description.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
