Class 9 Math Ex 3.1 Question2 (i-viii) Complete Solution | Sets in Tabular Form | PCTB New Book 2025

Assalam-o-Alaikum, dear students! Welcome to Dr. M. Yousaf's official lecture for 9th Class Mathematics, fully aligned with the Punjab Curriculum & Textbook Board (PCTB) New Syllabus 2025. In this video lecture, we provide complete, step-by-step solutions for all parts (i to viii) of Question 2 from Exercise 3.1, Unit 3 (Sets and Functions). Learn how to convert set-builder expressions into tabular (roster) form by evaluating multiples, linear equations, prime numbers, divisors, exponential rules, and empty sets. TOPICS COVERED: Part (i): Multiples of 3 up to 36 Part (ii): Solving linear equation 2x + 1 = 0 for real numbers Part (iii): Prime numbers less than 12 Part (iv): Divisors of 128 Part (v): Powers of 2 where n is a natural number less than 8 Part (vi) & (viii): Identifying empty sets from natural and integer conditions Part (vii): Universal identity set for natural numbers TIMELINE / CHAPTER TIMESTAMPS: 00:00 – Introduction to Exercise 3.1 Question 2 00:30 – Part (i): Multiples of 3 Less Than or Equal to 36 03:11 – Part (ii): Real Number Equation 2x + 1 = 0 04:00 – Part (iii): Prime Numbers Less Than 12 04:45 – Part (iv): Divisors of 128 06:13 – Part (v): Exponential Set 2^n (n less than 8) 08:40 – Part (vi): Natural Number Set x + 4 = 0 (Empty Set) 09:19 – Part (vii): Natural Number Identity Set x = x 09:44 – Part (viii): Integer Set 3x + 1 = 0 (Empty Set) Don't forget to Like, Share, and Subscribe to @Dryousaf001 for upcoming mathematics video lectures! #9thMath #Exercise3.1 #TabularForm #SetsAndFunctions #PCTB2025 #PunjabBoard #DrMYousaf.