Which option correctly writes U={x:x∈N, x is not less than 9 and x≤13}?
Answer and explanation
Correct answer: U={9,10,11,12,13}
The key concept is translating verbal inequalities into a roster form. “x is not less than 9” means x≥9. Combining this with x≤13 gives 9≤x≤13. The natural numbers in that closed interval are 9, 10, 11, 12, and 13. Both endpoints are included because both inequalities allow equality. Therefore option A is the complete and correct set.
Frequently asked questions
What is the correct answer to this question?
U={9,10,11,12,13}
Why is this the correct answer?
The key concept is translating verbal inequalities into a roster form. “x is not less than 9” means x≥9. Combining this with x≤13 gives 9≤x≤13. The natural numbers in that closed interval are 9, 10, 11, 12, and 13. Both endpoints are included because both inequalities allow equality. Therefore option A is the complete and correct set.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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