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Class 10MathematicsSetsSets and their representationsEasyLevel 2

If Z = {x : x ∈ ℕ and 2x + 1 < 12}, what is the roster form of Z?

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Answer and explanation

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

First solve the inequality: 2x + 1 < 12 gives 2x < 11 and therefore x < 11/2, or x < 5.5. The natural numbers satisfying this condition are 1, 2, 3, 4, and 5. The value 6 is too large, and 0 is not included under the usual school convention ℕ = {1, 2, 3, …}. Thus option A is the correct roster form.

Tags

setslinear inequalitynatural numbersroster formSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Z = {1, 2, 3, 4, 5}

Why is this the correct answer?

First solve the inequality: 2x + 1 < 12 gives 2x < 11 and therefore x < 11/2, or x < 5.5. The natural numbers satisfying this condition are 1, 2, 3, 4, and 5. The value 6 is too large, and 0 is not included under the usual school convention ℕ = {1, 2, 3, …}. Thus option A is the correct roster form.

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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