Which option correctly writes U={x∈N: x is not greater than 4}?
Answer and explanation
Correct answer: U={1,2,3,4}
The governing inequality is “not greater than 4,” which means x≤4. With the convention used here, N={1,2,3,...}; therefore the natural numbers satisfying the condition are 1, 2, 3, and 4. The equality sign includes the boundary value 4, while values 5 and above are excluded. Option B would be correct only under a convention that includes 0 in N, but the question’s expected convention is positive natural numbers.
Frequently asked questions
What is the correct answer to this question?
U={1,2,3,4}
Why is this the correct answer?
The governing inequality is “not greater than 4,” which means x≤4. With the convention used here, N={1,2,3,...}; therefore the natural numbers satisfying the condition are 1, 2, 3, and 4. The equality sign includes the boundary value 4, while values 5 and above are excluded. Option B would be correct only under a convention that includes 0 in N, but the question’s expected convention is positive natural numbers.
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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