What is the roster form of W={x∈N: x is a multiple of 11 and x<70}?
Answer and explanation
Correct answer: W={11,22,33,44,55,66}
The governing concept is roster form: list every natural number satisfying both conditions. The positive multiples of 11 are 11,22,33,44,55,66,77,...; applying x<70 retains 11 through 66 and excludes 77. Using the stated convention N={1,2,3,...}, zero is not included. Therefore option A is correct; B adds zero, C adds 77, and D omits 11.
Frequently asked questions
What is the correct answer to this question?
W={11,22,33,44,55,66}
Why is this the correct answer?
The governing concept is roster form: list every natural number satisfying both conditions. The positive multiples of 11 are 11,22,33,44,55,66,77,...; applying x<70 retains 11 through 66 and excludes 77. Using the stated convention N={1,2,3,...}, zero is not included. Therefore option A is correct; B adds zero, C adds 77, and D omits 11.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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