Linear Inequalities class 11 CBSE Maths Chapter 6

Linear Inequalities class 11 CBSE Maths Chapter 6
Class 11 CBSE Maths Syllabus
Chapter 1:Sets
Chapter 2: Relations and Functions
Chapter 3: Trigonometric Functions
Chapter 4: Principles of Mathematical Induction
Chapter 5: Complex Numbers and Quadratic Equations
Chapter 6: Linear Inequalities
Chapter 7: Permutations and Combinations
Chapter 8: Binomial Theorem
Chapter 9: Sequences and Series
Chapter 10: Straight lines
Chapter 11: Conic Sections
Chapter 12: Introduction to 3D
Chapter 13: Limits and Derivatives
Chapter 14: Mathematical Reasoning
Chapter 15: Stastics
Chapter 16: Probability
Introduction

While studying, the important points to remember from Class 11 Maths Chapter 6 are as follows:

  • Subtraction Rule of Linear Inequalities: 
    • If x > y, then x − z > y − z
    • If x< y, then x − z < y − z
  • Multiplication Rule of Linear Inequalities:
    • If x> y and z > 0, then xz > yz
    • If x<y and z > 0, then xz < yz
  • Division Rule of Linear Inequalities: 
    • If x > y and z > 0, then x/z > y/z
    • If x < y and z > 0, then x/z < y/z
  • The common region of the coordinate plane must be reached while solving a system of linear equations in two variables graphically.
  • Addition Rule of Linear Inequalities: If x > y ,then x + z > y+z and if x < y, then x + z < y + z.
Exercises
Exercise 6.1



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