If A={x: x is a natural number and 2≤x≤6}, how many elements are in A?
Answer and explanation
Correct answer: 5
The governing concept is counting elements in an inclusive finite interval. Because both inequalities use ≤, the endpoints 2 and 6 are included. Listing the natural numbers gives A={2,3,4,5,6}, so there are 5 elements and option B is correct. Option A results from omitting one endpoint, while C and D do not count the complete listed set.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The governing concept is counting elements in an inclusive finite interval. Because both inequalities use ≤, the endpoints 2 and 6 are included. Listing the natural numbers gives A={2,3,4,5,6}, so there are 5 elements and option B is correct. Option A results from omitting one endpoint, while C and D do not count the complete listed set.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
