# Chapter 5 (Linear Inequalities and Linear Programming) FSc Part 2 Math

Level: F.Sc (Pre-Engg)
Class: 2nd Year
Board: Punjab Textbook Board
Subject: Mathematics
Total Exercises: 3
Type: Notes

In this chapter we will read these topics:

• What do you mean by inequality?
• Define linear inequalities in one variable.
• Define linear inequalities in two variables.
• Define the corresponding equation or associated equation.
• What do you mean by a vertical line.
• What do you mean by a non-vertical line.
• Define open half-plane and closed half-plane.
• Define solution set of linear inequalities.
• Define solution region of linear inequalities.
• Define test point.
• How will you graph a linear inequality in two variables.
• Shading region towards the test point.
• Shading region beyond the test point.
• Define corner point.
• Define constraints / side-condition.
• Define problem constraints.
• Define non-negative / natural constraints.
• Define decision variables.
• Define feasible region.
• Graph the feasible region subject to the given constraints.
• Define feasible solution and feasible solution set.
• Define convex and concave region.
• Define the objective function.
• Define optimal solution.
• Define theorem of linear programming.
• Write the procedure for determining optimal solution.

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