If M={x: x is an integer and 0<x<5}, what is its roster form?
Answer and explanation
Correct answer: M={1,2,3,4}
The governing idea is roster representation: list every element that satisfies the stated condition. The integers must be greater than 0 and less than 5. Checking the integers in that interval gives 1, 2, 3, and 4. Because both inequalities are strict, neither endpoint 0 nor 5 is included. Therefore M={1,2,3,4}, so option B is correct; the other options include an endpoint or an invalid extra value.
Frequently asked questions
What is the correct answer to this question?
M={1,2,3,4}
Why is this the correct answer?
The governing idea is roster representation: list every element that satisfies the stated condition. The integers must be greater than 0 and less than 5. Checking the integers in that interval gives 1, 2, 3, and 4. Because both inequalities are strict, neither endpoint 0 nor 5 is included. Therefore M={1,2,3,4}, so option B is correct; the other options include an endpoint or an invalid extra value.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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