Which is the most suitable set-builder form of C = {2, 4, 6, 8, 10, 12}?
Answer and explanation
Correct answer: C = {x : x is an even natural number and 2 ≤ x ≤ 12}
Every member of C is an even natural number, and the smallest and largest members are 2 and 12. Therefore, the property and the inclusive bounds must both be stated: x is even and 2 ≤ x ≤ 12. The other choices include odd, prime, or additional natural numbers not belonging to C.
Frequently asked questions
What is the correct answer to this question?
C = {x : x is an even natural number and 2 ≤ x ≤ 12}
Why is this the correct answer?
Every member of C is an even natural number, and the smallest and largest members are 2 and 12. Therefore, the property and the inclusive bounds must both be stated: x is even and 2 ≤ x ≤ 12. The other choices include odd, prime, or additional natural numbers not belonging to C.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
