If I = {x : x ∈ N and x + 2 ≤ 5}, what type of set is I?
Answer and explanation
Correct answer: Finite set
Subtracting 2 from both sides gives x ≤ 3. With x restricted to natural numbers N = {1, 2, 3, ...}, the set is I = {1, 2, 3}. It has three elements, so it is a finite set. It is neither empty nor a singleton, and the upper bound prevents it from being infinite. Therefore option C is correct.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
Subtracting 2 from both sides gives x ≤ 3. With x restricted to natural numbers N = {1, 2, 3, ...}, the set is I = {1, 2, 3}. It has three elements, so it is a finite set. It is neither empty nor a singleton, and the upper bound prevents it from being infinite. Therefore option C is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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