Скачать или смотреть 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