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Which option correctly gives T = {x : x ∈ N, x < 10 and x is divisible by 3}?
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Answer and explanation
Correct answer: T = {3, 6, 9}
The positive natural multiples of 3 are 3, 6, 9, 12, and so on. Imposing the condition x < 10 keeps 3, 6 and 9 but excludes 12. Under the stated convention N starts at 1, so 0 is not included. Therefore T = {3, 6, 9}; option D also contains 1, which is not divisible by 3.
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What is the correct answer to this question?
T = {3, 6, 9}
Why is this the correct answer?
The positive natural multiples of 3 are 3, 6, 9, 12, and so on. Imposing the condition x < 10 keeps 3, 6 and 9 but excludes 12. Under the stated convention N starts at 1, so 0 is not included. Therefore T = {3, 6, 9}; option D also contains 1, which is not divisible by 3.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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