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 PropertiesMediumLevel 21

If U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6}, what is (Aᶜ ∪ B)ᶜ?

Advertisement

Answer and explanation

Correct answer: {1, 2}

First take the complement of A in U: Aᶜ = {5, 6, 7, 8}. Its union with B = {3, 4, 5, 6} is {3, 4, 5, 6, 7, 8}. The complement of this union within U consists of the elements left out, namely {1, 2}. Thus (Aᶜ ∪ B)ᶜ = {1, 2}, so option A is correct. Option C is the union before complementation.

Tags

setsunioncomplementset-operationsComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 2}

Why is this the correct answer?

First take the complement of A in U: Aᶜ = {5, 6, 7, 8}. Its union with B = {3, 4, 5, 6} is {3, 4, 5, 6, 7, 8}. The complement of this union within U consists of the elements left out, namely {1, 2}. Thus (Aᶜ ∪ B)ᶜ = {1, 2}, so option A is correct. Option C is the union before complementation.

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