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 10

If U = {1,2,...,14}, A = {1,3,5,7,9,11,13} and B = {2,3,5,7,11,13}, what is A' ∩ B'?

Advertisement

Answer and explanation

Correct answer: {4,6,8,10,12,14}

Relative to U, A contains every odd number from 1 through 13, so A' = {2,4,6,8,10,12,14}. The set B contains 2,3,5,7,11,13, so B' = {1,4,6,8,9,10,12,14}. The elements common to A' and B' are therefore {4,6,8,10,12,14}. This also follows directly from De Morgan's law: A' ∩ B' = (A ∪ B)'.

Tags

setscomplementintersectionfinite-setComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{4,6,8,10,12,14}

Why is this the correct answer?

Relative to U, A contains every odd number from 1 through 13, so A' = {2,4,6,8,10,12,14}. The set B contains 2,3,5,7,11,13, so B' = {1,4,6,8,9,10,12,14}. The elements common to A' and B' are therefore {4,6,8,10,12,14}. This also follows directly from De Morgan's law: A' ∩ B' = (A ∪ B)'.

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