If M={x:x∈W, x²<10}, what is M?
Answer and explanation
Correct answer: M={0,1,2,3}
Whole numbers are 0, 1, 2, 3, and so on. Their squares are 0²=0, 1²=1, 2²=4, and 3²=9, all less than 10. The next whole number gives 4²=16, which fails the inequality. Hence M={0,1,2,3}, so option B is correct. Negative integers cannot be included because the domain is W, the whole numbers.
Frequently asked questions
What is the correct answer to this question?
M={0,1,2,3}
Why is this the correct answer?
Whole numbers are 0, 1, 2, 3, and so on. Their squares are 0²=0, 1²=1, 2²=4, and 3²=9, all less than 10. The next whole number gives 4²=16, which fails the inequality. Hence M={0,1,2,3}, so option B is correct. Negative integers cannot be included because the domain is W, the whole numbers.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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