#6 Countability of Sets | Countable & Uncountable Sets | Real Analysis | TGT PGT 2026 | by yash sir

#6 Countability of Sets | Countable & Uncountable Sets | Real Analysis | TGT PGT 2026 | New Updated Syllabus | Feeling Wali Class by Yash Vardhan Tengauriya Sir Welcome to Tengauriya Concept – Maths by Yash Vardhan Tengauriya ❤️ ABOUT THE EDUCATOR: Yash Vardhan Tengauriya Assistant Professor at Shri Gaurishankar Degree College M.Sc., B.Ed. (Mathematics) Currently Pursuing Ph.D. in Mathematics ━━━━━━━━━━━━━━━━━━ 📚 IMPORTANT LINKS: 🔹 LCD Complete Course 2026 Playlist    • UP TGT/PGT 2026 | REAL ANALYSIS | LCD Comp...   🔹 Relation & Function Complete Course Playlist    • UP TGT/PGT 2026 | Algebra - Set Theory, Ma...   🔹 Real Analysis Complete Course Playlist    • UP TGT/PGT 2026 |  Real Analysis – Sequenc...   🔹 Theory of Equation & Group Theory    • UP TGT/PGT 2026 | Algebra – Theory of Equa...   🔹 WhatsApp Boys Group https://chat.whatsapp.com/CpiAkpuwFpV... 🔹 WhatsApp Girls Group https://chat.whatsapp.com/HIg4qDoK7KS... 🔹 Telegram Channel https://t.me/TengauriyaConcept 🔹 Instagram   / yashvardhantengauriya   🔹 Facebook Page   / tengauriyaconcept   ━━━━━━━━━━━━━━━━━━ 📖 ABOUT THIS LECTURE: Welcome to the NEW REAL ANALYSIS COMPLETE COURSE 2026. This is Lecture-5 of Real Analysis, covering the important topic COUNTABILITY OF SETS. In this lecture, Tengauriya Sir explains Countable Sets, Uncountable Sets, Finite & Infinite Sets, Cardinality, One-One Correspondence and Denumerable Sets from basic to advanced level. Real Analysis sirf definitions yaad karne ka subject nahi hai. Mathematical logic, reasoning aur conceptual clarity sabse important hoti hai. 🎯 This series follows the NEW UPDATED SYLLABUS approach for UP TGT & PGT Mathematics 2026 preparation. Basic se Advanced tak — Real Analysis ko sirf padhenge nahi, FEEL karenge. ❤️ ━━━━━━━━━━━━━━━━━━ 🔥 TOPICS COVERED IN LECTURE-5: • Countability of Sets • Countable Sets • Uncountable Sets • Countable & Uncountable Sets • Finite and Infinite Sets • Countably Infinite Sets • Denumerable Sets • Cardinality of Sets • One-One Correspondence • Bijection and Countability • Countability of Natural Numbers, Integers & Rational Numbers • Real Numbers and Uncountability • Countable Subsets • Conceptual & Exam-Oriented Questions • Common Mistakes ━━━━━━━━━━━━━━━━━━ 🎯 TARGET EXAMS: UP TGT Maths 2026 UP PGT Maths 2026 NVS Mathematics KVS Mathematics LT Grade Mathematics EMRS Mathematics Other Teaching & Competitive Mathematics Exams ━━━━━━━━━━━━━━━━━━ 💡 WHY THIS REAL ANALYSIS COURSE? Countability ko sirf ratna nahi hai. Concept samajhna hai. Logic feel karna hai. Infinite Sets ko understand karna hai. Questions ko approach karna hai. This course focuses on: ✅ Conceptual Clarity ✅ Mathematical Logic ✅ Strong Fundamentals ✅ Countable & Uncountable Sets ✅ Cardinality Concepts ✅ One-One Correspondence ✅ Exam-Oriented Preparation ✅ Important Questions ✅ Problem-Solving Approach ONLY — CONCEPT + LOGIC + QUESTIONS + FEELING WALI TEACHING. ❤️ ━━━━━━━━━━━━━━━━━━ 🚀 NEW SYLLABUS • NEW SERIES • NEW APPROACH Kya har infinite set countable hota hai? Kya Natural Numbers, Integers aur Rational Numbers countable hain? Kya Real Numbers countable hain? Countable aur Uncountable Sets mein actual difference kya hai? Infinity ke different sizes ko mathematics mein kaise compare karte hain? In sab concepts ko basic se advanced level tak step-by-step samjhenge. Agar aap UP TGT/PGT Mathematics 2026, NVS, KVS, LT Grade, EMRS ya other competitive exams ki preparation kar rahe hain, to Real Analysis Complete Course ko follow zaroor karein. 📌 LIKE • SHARE • SUBSCRIBE CONCEPT MAKES A PERFECT. ❤️ ━━━━━━━━━━━━━━━━━━ 🔎 SEO KEYWORDS: Countability of Sets, Countable Sets, Uncountable Sets, Countable and Uncountable Sets, Cardinality of Sets, One One Correspondence, Denumerable Set, Countably Infinite Set, Real Analysis TGT PGT 2026, UP TGT Maths 2026, UP PGT Maths 2026, Higher Mathematics, New Syllabus 2026. ━━━━━━━━━━━━━━━━━━ 🏷️ HASHTAGS: #CountabilityOfSets #CountableSets #UncountableSets #CountableAndUncountableSets #RealAnalysis #RealAnalysis2026 #TGTMaths #PGTMaths #UPTGT2026 #UPPGT2026 #UPTGTMaths #UPPGTMaths #TGT2026 #PGT2026 #Maths2026 #TengauriyaConcept #TengauriyaSir #YashVardhanTengauriya #FeelingWaliClass #HigherMathematics #Cardinality #OneOneCorrespondence #NVS2026 #KVS2026 #LTGrade #EMRS2026 #CompetitiveMaths #RealAnalysisForTGT #RealAnalysisForPGT #NewSyllabus2026 ━━━━━━━━━━━━━━━━━━ 5+ Years Teaching Experience | Educator at Tengauriya Concept | Known for Feeling Wali Classes ❤️ 🔥 REAL ANALYSIS SERIES CONTINUES! Countable ho ya Uncountable — ab Infinite Sets ko bhi FEEL karenge. ❤️