Which option correctly represents K = {x : x ∈ N, x is not less than 6 and x < 11}?
Answer and explanation
Correct answer: K = {6, 7, 8, 9, 10}
The governing concept is translating verbal inequalities into mathematical conditions. “Not less than 6” means x ≥ 6, so 6 must be included. Together with x < 11, the allowed natural numbers are 6, 7, 8, 9 and 10. Option B wrongly excludes 6, option C adds 5, and option D adds 11 despite the strict upper bound. Therefore A is correct.
Frequently asked questions
What is the correct answer to this question?
K = {6, 7, 8, 9, 10}
Why is this the correct answer?
The governing concept is translating verbal inequalities into mathematical conditions. “Not less than 6” means x ≥ 6, so 6 must be included. Together with x < 11, the allowed natural numbers are 6, 7, 8, 9 and 10. Option B wrongly excludes 6, option C adds 5, and option D adds 11 despite the strict upper bound. Therefore A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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