If A={x∈N: 4<x≤10}, which is its roster form?
Answer and explanation
Correct answer: A={5,6,7,8,9,10}
The governing concept is translating inequalities into roster form. The strict inequality 4<x excludes 4, while x≤10 includes the upper endpoint 10. Listing the natural numbers that satisfy both conditions gives 5,6,7,8,9,10. Option B incorrectly includes 4, and option C incorrectly omits 10. Therefore the correct roster form is option A.
Frequently asked questions
What is the correct answer to this question?
A={5,6,7,8,9,10}
Why is this the correct answer?
The governing concept is translating inequalities into roster form. The strict inequality 4<x excludes 4, while x≤10 includes the upper endpoint 10. Listing the natural numbers that satisfy both conditions gives 5,6,7,8,9,10. Option B incorrectly includes 4, and option C incorrectly omits 10. Therefore the correct roster form is option A.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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