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Class 10MathematicsSetsSets and their representationsEasyLevel 2

Choose the correct roster form of S = {x : x ∈ N and 2x − 1 ≤ 11}.

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Answer and explanation

Correct answer: S = {1, 2, 3, 4, 5, 6}

First solve the inequality: 2x − 1 ≤ 11. Adding 1 to both sides gives 2x ≤ 12, and dividing by the positive number 2 gives x ≤ 6. Because x belongs to N, the admissible natural-number values are 1, 2, 3, 4, 5, and 6, using the convention N = {1, 2, 3, ...}. Therefore, S = {1, 2, 3, 4, 5, 6}.

Tags

setslinear inequalitynatural numbersroster formSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

S = {1, 2, 3, 4, 5, 6}

Why is this the correct answer?

First solve the inequality: 2x − 1 ≤ 11. Adding 1 to both sides gives 2x ≤ 12, and dividing by the positive number 2 gives x ≤ 6. Because x belongs to N, the admissible natural-number values are 1, 2, 3, 4, 5, and 6, using the convention N = {1, 2, 3, ...}. Therefore, S = {1, 2, 3, 4, 5, 6}.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.

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