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)MediumLevel 7

If A = [1, 4] and B = (2, 5), what is A ∩ B?

Advertisement

Answer and explanation

Correct answer: (2, 4]

The intersection contains only the real numbers that belong to both intervals. The common range begins just greater than 2 because B excludes 2, so the left endpoint is open. The common range ends at 4, and 4 belongs to both A and B, so the right endpoint is closed. Therefore A ∩ B = (2, 4].

Tags

setsintersectioninterval operationscommon elementsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

(2, 4]

Why is this the correct answer?

The intersection contains only the real numbers that belong to both intervals. The common range begins just greater than 2 because B excludes 2, so the left endpoint is open. The common range ends at 4, and 4 belongs to both A and B, so the right endpoint is closed. Therefore A ∩ B = (2, 4].

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