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 10MathematicsSetsOperations on Sets (Union, Intersection, Difference)HardLevel 18

If A ∪ B = U, A ∩ B = C, and C ⊆ A, then A \ B is equal to which set?

Advertisement

Answer and explanation

Correct answer: A \ C

The elements of A are divided into two disjoint parts: those also belonging to B, namely A ∩ B = C, and those not belonging to B, namely A \ B. Removing B from A therefore removes exactly the common part C. Consequently, A \ B = A \ C. The condition A ∪ B = U is not needed for this equality.

Tags

setsset differenceintersectionset identitiesOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A \ C

Why is this the correct answer?

The elements of A are divided into two disjoint parts: those also belonging to B, namely A ∩ B = C, and those not belonging to B, namely A \ B. Removing B from A therefore removes exactly the common part C. Consequently, A \ B = A \ C. The condition A ∪ B = U is not needed for this equality.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).

Report question
Advertisement