Calculus I – Lecture 2: Solving Inequalities Sign Charts & Rational Inequalities скачать в хорошем качестве

Calculus I – Lecture 2: Solving Inequalities Sign Charts & Rational Inequalities

In this lecture, we study methods for solving algebraic inequalities, including polynomial inequalities, sign charts, and rational inequalities. We review the basic properties of inequalities and apply sign analysis to determine solution intervals. Topics include: Linear inequalities Quadratic inequalities Higher-degree polynomials Rational inequalities Inequalities without real solutions Students are encouraged to write along and pause the video when needed. Instructor: Prof. Shadi Shaqaqha Department of Mathematics – Yarmouk University 00:00 Introduction & Review of Basic Rules 02:50 Linear Inequality (Example 2.1) 06:10 Quadratic Inequality – Sign Chart Method (Example 2.2) 11:02 Polynomial of Degree 3 (Example 2.3) 13:17 Higher Powers & Multiplicity of Roots (Example 2.4) 14:56 Rational Inequality – Basic Form (Example 2.5) 19:25 Rational Inequality with Expression on Both Sides (Example 2.7) 26:19 Quadratic Inequality with No Real Solution 29:04 Discriminant Review & Final Remarks