If N={x∈W: x<6}, which statement is false?
Answer and explanation
Correct answer: 6∈N
The governing concept is membership under a strict inequality. Whole numbers are 0,1,2,3,..., and the condition x<6 selects exactly {0,1,2,3,4,5}. Therefore 0, 3, and 5 belong to N, while 6 does not. The endpoint is excluded because the sign is < rather than ≤. Thus the false statement is 6∈N, option C.
Frequently asked questions
What is the correct answer to this question?
6∈N
Why is this the correct answer?
The governing concept is membership under a strict inequality. Whole numbers are 0,1,2,3,..., and the condition x<6 selects exactly {0,1,2,3,4,5}. Therefore 0, 3, and 5 belong to N, while 6 does not. The endpoint is excluded because the sign is < rather than ≤. Thus the false statement is 6∈N, option C.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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