If S={x:x∈N, x is a multiple of 8 and x<50}, what is its roster form?
Answer and explanation
Correct answer: S={8,16,24,32,40,48}
The governing concept is converting a bounded set-builder description into roster form. Positive multiples of 8 are 8, 16, 24, 32, 40, 48, 56, and so on. Applying x<50 stops the list at 48; 56 is excluded. Under the stated convention N begins with 1, so 0 is not included. Every listed number satisfies both conditions, and no other positive multiple does. Therefore A is correct.
Frequently asked questions
What is the correct answer to this question?
S={8,16,24,32,40,48}
Why is this the correct answer?
The governing concept is converting a bounded set-builder description into roster form. Positive multiples of 8 are 8, 16, 24, 32, 40, 48, 56, and so on. Applying x<50 stops the list at 48; 56 is excluded. Under the stated convention N begins with 1, so 0 is not included. Every listed number satisfies both conditions, and no other positive multiple does. Therefore A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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