Which is the roster form of B={x: x is a natural number and x<5}?
Answer and explanation
Correct answer: B={1,2,3,4}
Roster form lists all members satisfying the condition, and the usual school convention here takes natural numbers as 1, 2, 3, and so on. The natural numbers less than 5 are therefore 1, 2, 3, and 4. Zero is excluded under this convention, and 5 is excluded because x<5 is a strict inequality. Hence option A is correct; the other lists either add a boundary value or omit a valid member.
Frequently asked questions
What is the correct answer to this question?
B={1,2,3,4}
Why is this the correct answer?
Roster form lists all members satisfying the condition, and the usual school convention here takes natural numbers as 1, 2, 3, and so on. The natural numbers less than 5 are therefore 1, 2, 3, and 4. Zero is excluded under this convention, and 5 is excluded because x<5 is a strict inequality. Hence option A is correct; the other lists either add a boundary value or omit a valid member.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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