Calculus I – Lecture 2: Solving Inequalities Sign Charts & Rational Inequalities
Автор: Shadi M. Shaqaqha
Загружено: 2026-02-20
Просмотров: 65
Описание:
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
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