If I={x: x is a whole number and x≤3}, what is I?
Answer and explanation
Correct answer: I={0,1,2,3}
Whole numbers are the non-negative integers: 0, 1, 2, 3, and so on. The condition x≤3 includes every whole number up to and including 3, so the complete set is I={0,1,2,3}. Option A incorrectly excludes 0; option C excludes the allowed endpoint 3; and option D keeps only one of the four qualifying values. Hence option B is correct.
Frequently asked questions
What is the correct answer to this question?
I={0,1,2,3}
Why is this the correct answer?
Whole numbers are the non-negative integers: 0, 1, 2, 3, and so on. The condition x≤3 includes every whole number up to and including 3, so the complete set is I={0,1,2,3}. Option A incorrectly excludes 0; option C excludes the allowed endpoint 3; and option D keeps only one of the four qualifying values. Hence option B is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.