Foundations of Relations, Functions, and Linear Inequalities

A solid understanding of relations, functions, and inequalities is the absolute foundation for advanced algebra, calculus, and data science. This course clarifies these critical mathematical concepts, taking you from basic definitions to confident problem-solving. You will learn how to analyze mathematical relationships, map inputs to outputs, and represent inequalities on the coordinate plane. Through structured written text and step-by-step breakdowns, you will build a strong mathematical intuition that prepares you for high school algebra, college-level math, or technical career paths. What you'll learn: - Understand the fundamental definitions of relations, domain, codomain, and range - Identify and classify different types of functions, including linear, quadratic, and piecewise functions - Apply algebraic techniques to solve and graph linear inequalities - Master modern function notation and coordinate geometry concepts used in data analysis - Solve practical word problems by translating real-world scenarios into mathematical models This course begins with essential terminology and the basic properties of sets before moving into the mechanics of functions and inequalities. You will progress through logical written explanations and practical exercises designed to reinforce your understanding. This course is designed for absolute beginners and students looking to refresh their algebra skills; no advanced mathematical background is required. Start building your mathematical foundation today.