Foundational Algebra: Solving Mathematical Inequalities

Solving inequalities is a core mathematical skill required for advanced algebra, calculus, and competitive entrance exams. This text-only course guides you from basic inequality rules to complex polynomial and rational expressions using systematic, easy-to-follow methods. By reading through our structured explanations and practicing the written exercises, you will develop a strong intuitive grasp of algebraic relationships. You will transition from memorizing formulas to logically mapping out solution sets on the number line. What you'll learn: - Understand the fundamental properties of inequalities and interval notation - Apply the wavy curve method to solve complex polynomial inequalities efficiently - Solve rational inequalities by identifying critical points and sign changes - Avoid common algebraic pitfalls when multiplying or dividing by variable expressions - Practice step-by-step problem-solving strategies with detailed written walkthroughs - Build the mathematical confidence needed for advanced algebra and calculus topics The course begins with essential terminology, basic definitions, and the core rules of inequalities. You will then progress through structured text lessons covering intervals, the critical wavy curve method, and rational expressions, concluding with comprehensive practice sets. This course is designed for high school students, exam aspirants, and self-learners looking to strengthen their mathematical foundations. No prior advanced algebra knowledge is required. Start reading today to master the logic of mathematical inequalities.