Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsSetsSets and their representationsMediumLevel 9

If A = {x : x ∈ N, 2x + 1 < 10}, where N = {1, 2, 3, ...}, then A is equal to:

Advertisement

Answer and explanation

Correct answer: {1, 2, 3, 4}

Solve the inequality: 2x + 1 < 10 gives 2x < 9 and hence x < 4.5. Since x belongs to N = {1, 2, 3, ...}, the possible natural-number values are 1, 2, 3, and 4. The value 5 fails because 2(5)+1 = 11, and 0 is not in the stated definition of N. Therefore A = {1, 2, 3, 4}, option A.

Tags

set-builder notationlinear inequalitynatural numberssetsSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 2, 3, 4}

Why is this the correct answer?

Solve the inequality: 2x + 1 < 10 gives 2x < 9 and hence x < 4.5. Since x belongs to N = {1, 2, 3, ...}, the possible natural-number values are 1, 2, 3, and 4. The value 5 fails because 2(5)+1 = 11, and 0 is not in the stated definition of N. Therefore A = {1, 2, 3, 4}, option A.

Which subject and chapter does this question cover?

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

Report question
Advertisement