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 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 9

If A ⊆ U, then A ∪ A′ is equal to what?

Advertisement

Answer and explanation

Correct answer: U

For every element of the universal set U, exactly one of two possibilities holds: it is in A, or it is not in A and therefore belongs to A′. Consequently, combining A and A′ includes every element of U and no element outside U. Hence, A ∪ A′ = U. This is one of the fundamental complement identities.

Tags

setscomplementunionuniversal_setComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

U

Why is this the correct answer?

For every element of the universal set U, exactly one of two possibilities holds: it is in A, or it is not in A and therefore belongs to A′. Consequently, combining A and A′ includes every element of U and no element outside U. Hence, A ∪ A′ = U. This is one of the fundamental complement identities.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.

Report question
Advertisement