Lesson 3 · Solution of Linear Programming Problems

Linear Inequalities Presentation

Optional MathematicsSubject
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Optional Mathematics, Class 10

Linear Inequalities

Boundary lines · Test points · Feasible regions

By the end of this lesson you can

✏️

Write a statement as a linear inequality

📈

Graph it in five steps

🔷

Find the feasible region of a system

🔍

Read inequalities back from a graph

Words become signs

⬇️

At most 2 hours: \( x \le 2 \)

⬆️

At least 16 years: \( x \ge 16 \)

🖊️

Pens and copies within Rs. 750: \( 15x + 25y \le 750 \)

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Presenter notes: Today we learn to turn limits like at most and at least into inequalities, and to draw them as shaded regions on a graph.