If I={x∈N: 2x-1≤7}, what type of set is I?
Answer and explanation
Correct answer: Finite set
Use the inequality-solving principle first: 2x−1≤7 gives 2x≤8, and division by the positive number 2 gives x≤4. Since x belongs to N, the possible values are I={1,2,3,4} under the usual school convention. This set has four members, so it is finite. It is not empty, not a singleton, and not infinite. Hence option C is correct.
Frequently asked questions
What is the correct answer to this question?
Finite set
Why is this the correct answer?
Use the inequality-solving principle first: 2x−1≤7 gives 2x≤8, and division by the positive number 2 gives x≤4. Since x belongs to N, the possible values are I={1,2,3,4} under the usual school convention. This set has four members, so it is finite. It is not empty, not a singleton, and not infinite. Hence option C is correct.
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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