If N = {x : x ∈ W and x ≤ 4}, which statement is true?
Answer and explanation
Correct answer: 0 ∈ N
The governing concept is membership in a set of whole numbers. Whole numbers are 0, 1, 2, 3, 4, and so on. Applying x≤4 gives N={0,1,2,3,4}. Hence 0 and 4 belong to N, whereas 5 does not. Therefore 0∈N, making option D correct. The important distinction is that zero is included in the whole-number system.
Frequently asked questions
What is the correct answer to this question?
0 ∈ N
Why is this the correct answer?
The governing concept is membership in a set of whole numbers. Whole numbers are 0, 1, 2, 3, 4, and so on. Applying x≤4 gives N={0,1,2,3,4}. Hence 0 and 4 belong to N, whereas 5 does not. Therefore 0∈N, making option D correct. The important distinction is that zero is included in the whole-number system.
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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