Which option is the roster form of Q={x: x is a natural number and x²<10}?
Answer and explanation
Correct answer: Q={1,2,3}
Use the condition x²<10 and test consecutive natural numbers. We have 1²=1, 2²=4, and 3²=9, all less than 10. But 4²=16, which is not less than 10; every larger natural number has an even larger square. Taking natural numbers here as 1, 2, 3, the roster is Q={1,2,3}. Thus option A is correct; B includes 4, C adds 0, and D omits 1.
Frequently asked questions
What is the correct answer to this question?
Q={1,2,3}
Why is this the correct answer?
Use the condition x²<10 and test consecutive natural numbers. We have 1²=1, 2²=4, and 3²=9, all less than 10. But 4²=16, which is not less than 10; every larger natural number has an even larger square. Taking natural numbers here as 1, 2, 3, the roster is Q={1,2,3}. Thus option A is correct; B includes 4, C adds 0, and D omits 1.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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