Linear Inequalities — Syllabus
CUET (UG) · Mathematics
Topics covered in Linear Inequalities for CUET (UG) Mathematics. Understand the syllabus structure and key areas to focus on.
Linear Inequalities — Syllabus & Topics
Topics covered in Linear Inequalities for CUET (UG) Mathematics.
Topics in Linear Inequalities
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
Key Concepts
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What topics are covered in Linear Inequalities for CUET (UG)?
Linear Inequalities is an important chapter in CUET (UG) 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 CUET (UG)?
Linear Inequalities is a frequently tested chapter in CUET (UG) 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 CUET (UG)?
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.