Which option gives the correct roster form of A={x∈N: 3x-2<13}?
Answer and explanation
Correct answer: A={1,2,3,4}
The governing concept is solving a linear inequality before writing a set in roster form. Starting with 3x-2<13, add 2 to get 3x<15, then divide by 3 to obtain x<5. Under N={1,2,3,...}, the allowed values are 1,2,3,4, so option A is correct. The strict sign excludes 5, and zero is excluded by the stated natural-number convention.
Frequently asked questions
What is the correct answer to this question?
A={1,2,3,4}
Why is this the correct answer?
The governing concept is solving a linear inequality before writing a set in roster form. Starting with 3x-2<13, add 2 to get 3x<15, then divide by 3 to obtain x<5. Under N={1,2,3,...}, the allowed values are 1,2,3,4, so option A is correct. The strict sign excludes 5, and zero is excluded by the stated natural-number convention.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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