What is the roster form of M = {x : x is a natural number and 10 ≤ x ≤ 12}?
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Answer and explanation
Correct answer: M = {10, 11, 12}
The condition includes every natural number from 10 through 12. Since both signs are ≤, both endpoints are included. Listing these numbers in increasing order gives 10, 11, and 12. Therefore the roster form is M = {10, 11, 12}; options omitting either endpoint do not satisfy the given closed bounds.
Frequently asked questions
What is the correct answer to this question?
M = {10, 11, 12}
Why is this the correct answer?
The condition includes every natural number from 10 through 12. Since both signs are ≤, both endpoints are included. Listing these numbers in increasing order gives 10, 11, and 12. Therefore the roster form is M = {10, 11, 12}; options omitting either endpoint do not satisfy the given closed bounds.
Which subject and chapter does this question cover?
This is a Class 11 464645644646 question. Chapter: 546464646.
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