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Class 10MathematicsSetsSets and their representationsEasyLevel 1

If U = {x : x ∈ N, 2x + 1 < 12}, which of the following is U?

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Answer and explanation

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

Solve the inequality: 2x + 1 < 12 gives 2x < 11 and therefore x < 11/2, or x < 5.5. Taking N as the positive natural numbers, the allowable values are 1, 2, 3, 4, and 5. The value 6 is too large, while 0 is excluded under this convention. Thus U = {1, 2, 3, 4, 5}, which is option A.

Tags

setslinear inequalitynatural numbersset-builder formSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

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

Why is this the correct answer?

Solve the inequality: 2x + 1 < 12 gives 2x < 11 and therefore x < 11/2, or x < 5.5. Taking N as the positive natural numbers, the allowable values are 1, 2, 3, 4, and 5. The value 6 is too large, while 0 is excluded under this convention. Thus U = {1, 2, 3, 4, 5}, which is option A.

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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