Linear Inequalities — Revision Notes
AP EAPCET · Mathematics
Quick revision notes for Linear Inequalities — key concepts, formulas, and definitions for AP EAPCET Mathematics preparation.
Revision Notes — Linear Inequalities
Key concepts, formulas, and definitions from Linear Inequalities for AP EAPCET Mathematics preparation.
Key Topics to Revise
Basic Concepts and Types of Inequalities
- An inequality is a statement involving symbols '>', '<', '≥', '≤'
- Numerical inequalities: Do not involve variables (e.g., 5 > 3)
- Literal inequalities: Involve variables (e.g., x + 2 > 5)
Solving Linear Inequalities in One Variable
- Rule 1: Add/subtract same number from both sides without changing inequality sign
- Rule 2: Multiply/divide by positive number - inequality sign remains same
- Rule 3: Multiply/divide by negative number - inequality sign reverses
Graphical Representation of Linear Inequalities in Two Variables
- A line divides coordinate plane into two half-planes
- Vertical lines create left and right half-planes
- Non-vertical lines create upper and lower half-planes
System of Linear Inequalities
- System involves two or more linear inequalities in same variables
- Solution is intersection of individual solution regions
- Result may be bounded polygon, unbounded region, or empty set
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Key Concepts
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What topics are covered in Linear Inequalities for AP EAPCET?
Linear Inequalities is an important chapter in AP EAPCET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Concepts and Types of Inequalities, Solving Linear Inequalities in One Variable, Graphical Representation of Linear Inequalities in Two Variables, System of Linear Inequalities.
How important is Linear Inequalities for AP EAPCET?
Linear Inequalities is a frequently tested chapter in AP EAPCET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 47 practice questions available for this chapter.
How to prepare Linear Inequalities for AP EAPCET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.