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 representationsEasyLevel 2

Choose the correct statement for I = {x : x ∈ ℤ, x² = 16}.

Advertisement

Answer and explanation

Correct answer: I = {-4, 4}

We need all integers x whose square is 16. Solving x² = 16 gives x = √16 or x = -√16, so x = 4 or x = -4. Both values are integers and both satisfy the condition because 4² = 16 and (-4)² = 16. Therefore, the set must contain both values, written without repetition as I = {-4, 4}.

Tags

setsintegersquadratic equationroster formSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

I = {-4, 4}

Why is this the correct answer?

We need all integers x whose square is 16. Solving x² = 16 gives x = √16 or x = -√16, so x = 4 or x = -4. Both values are integers and both satisfy the condition because 4² = 16 and (-4)² = 16. Therefore, the set must contain both values, written without repetition as I = {-4, 4}.

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