2nd year mathematics chapter 5

Chapter 5 Linear Inequalities and Linear Programming 2nd Year Mathematics

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Chapter 5 of the 2nd Year Mathematics book focuses on Linear Inequalities and Linear Programming. In this chapter, we delve into the concept of linear inequalities and how they can be represented graphically.

Linear inequalities are mathematical expressions involving linear equations with symbols like < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). We explore how to solve these inequalities and understand the solutions in the context of a number line.

Moving on to Linear Programming, this chapter introduces the fundamental principles and techniques. Linear Programming is a method used to maximize or minimize a linear objective function, subject to a set of linear constraints. It is widely applicable in various fields, such as business, economics, and engineering, to optimize resource allocation.

Throughout the chapter, practical examples and exercises are provided to help students grasp the concepts effectively. By the end of this chapter, students should have a solid understanding of linear inequalities and the basics of linear programming, preparing them for more advanced applications in future studies and real-world problem-solving.

Exercise 5.1

Exercise 5.2

Exercise 5.3

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