Which option gives the correct roster form of R={x:x∈W, x<4 or x=6}?
Answer and explanation
Correct answer: R={0,1,2,3,6}
The governing ideas are the definition of whole numbers and the inclusive meaning of “or.” Whole numbers begin at 0, so the values less than 4 are 0, 1, 2 and 3. The separate condition x=6 adds 6 to the set. Combining these distinct values gives R={0,1,2,3,6}, so option B is correct. Option A omits 0, option C wrongly includes 4, and D omits all values below 4.
Frequently asked questions
What is the correct answer to this question?
R={0,1,2,3,6}
Why is this the correct answer?
The governing ideas are the definition of whole numbers and the inclusive meaning of “or.” Whole numbers begin at 0, so the values less than 4 are 0, 1, 2 and 3. The separate condition x=6 adds 6 to the set. Combining these distinct values gives R={0,1,2,3,6}, so option B is correct. Option A omits 0, option C wrongly includes 4, and D omits all values below 4.
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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