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Linear Inequalities — Important Topics

MHT-CET · Mathematics

Most important topics from Linear Inequalities for MHT-CET Mathematics. Focus on these high-weightage areas for maximum score.

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An infographic classifying different types of inequalities based on variables, symbols, and degree, including numerical, literal, strict, slack, linear in one variable, linear in two variables, and qu
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Linear Inequalities — Syllabus & Topics

Topics covered in Linear Inequalities for MHT-CET Mathematics.

Topics in Linear Inequalities

1

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)
2

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
3

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
4

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

Inequalities are classified based on symbolsTwo fundamental rules applyFor positive real numberThe line ax + by =A system consists of multiple inequalities

Frequently Asked Questions

What topics are covered in Linear Inequalities for MHT-CET?
Linear Inequalities is an important chapter in MHT-CET 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 MHT-CET?
Linear Inequalities is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 109 practice questions available for this chapter.
How to prepare Linear Inequalities for MHT-CET?
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.

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