Solving Inequalities and Number Lines | Math for AI & Data Science: From Zero to Hero

An inequality has infinitely many solutions, and they have a shape. Learn to solve every kind, see why a negative reverses the sign, and draw the answer on a number line. Welcome to Keduka AI School’s Math for AI & Data Science: From Zero to Hero. This lesson solves inequalities step by step, with every operation applied to both sides on screen, derives why a negative number reverses the sign, and draws each answer on a number line before writing it in interval notation. Continue learning: https://keduka.com/ Watch the full playlist:    • Math for AI & Data Science: From Zero to Hero   IN THIS LESSON • What the four inequality symbols say, and why an inequality has infinitely many solutions • The operations that keep an inequality true, animated term by term • Why multiplying or dividing by a negative reverses the sign: a reflection through zero • Open rings, closed circles and shading on a number line, checked with test values • Compound inequalities: “and” is a window, “or” is two rays • Absolute value inequalities as distances, solved with two cases • Variables on both sides, the no-solution and every-real-number cases • Four common mistakes and the test-value habit that catches them • Interval notation, with the union symbol for “or” • Five practice problems, a NumPy filter, a classifier threshold and ReLU, and a final challenge CHAPTERS 00:00 Welcome to the series 01:16 What an inequality says 02:23 Operations that keep an inequality true 03:46 Why a negative reverses the sign 05:43 Worked example 07:00 Compound inequalities: and, or 09:00 Absolute value inequalities 12:43 Variables on both sides 14:10 Special cases 16:01 Common mistakes and how to avoid them 17:26 Interval notation 18:19 Practice: try it yourself 24:16 Inequalities in AI and data science 25:37 Summary and next steps Study reminders: apply every operation to both sides (or all three parts); reverse the sign only when you multiply or divide by a negative number; test one value in the original inequality before you trust a picture. Subscribe to Keduka AI School for visual lessons that build your mathematical intuition, one idea at a time. #Inequalities #MathForAI #DataScience #KedukaAISchool #AI #MachineLearning #DeepLearning #NeuralNetworks #Transformers #LLMs #NLP #ComputerVision #OpenSource #MLOps #DeepLearningTutorial #AIEducation #ModelTraining #DataAnalysis