CBSE Class 11 Maths Notes Chapter 6 Linear Inequalities

Solution & Solution Set

Rules of Inequality

Graphical Solution of Linear Inequalities in 2 Variables

A line splits the Cartesian plane into two equal parts. Every element is called a half-plane. The plane is divided into lower and upper half planes by a non-vertical line and left and right half planes by a vertical line. A point in the Cartesian plane will lie in one of the half-planes or on a line. The region in which every answer to an inequality may be found is known as the solution zone. Simply select any non-online point (a, b) and determine if it satisfies the inequality to determine the half-plane that the inequality represents. Should it occur, the inequality symbolizes the half plane and casts a shadow over the area containing the point; if not, the inequality denotes the half plane devoid of the point. The preferred point is (0,0) for convenience.

There are certain types of linear Inequalities which are as follows:-

1. Linear Inequalities in One Variable

An inequality that takes into account a linear function in one variable is called a linear inequality in one variable. E.g. y < 5;

2. Linear inequalities in two variables

An inequality that typically includes a linear function in two variables is called a linear inequality in two variables. For E.g. 2x + 3y < 5

3. Quadratic inequalities

An inequality that takes into account a quadratic function is called a linear inequality in quadratic. E.g. y3 + 3y ≤ 5

Benefits of CBSE Class 11 Maths Notes Chapter 6

Making last-minute arrangements is never simple. All chapter's main ideas are condensed into an understandable way in our maths notes. Before taking their final exams, students can use these notes to gain an advantage and increase their confidence. Frequent review of all the key ideas and equations is far more beneficial than studying late the night before an exam. The greatest method to solidify your thoughts is to revise sometimes, especially if you're studying maths.

CBSE Class 11 Notes for Maths
Chapter 1 Sets Notes	Chapter 2 Relations and Functions Notes
Chapter 3 Trigonometric Functions Notes	Chapter 4 Principle of Mathematical Induction Notes
Chapter 5 Complex Numbers and Quadratic Equations Notes	Chapter 6 Linear Inequalities Notes
Chapter 7 Permutations and Combinations Notes	Chapter 8 Binomial Theorem Notes
Chapter 9 Sequences and Series Notes	Chapter 10 Straight Lines Notes
Chapter 11 Conic Sections Notes	Chapter 12 Introduction to Three Dimensional Geometry Notes
Chapter 13 Limits and Derivatives Notes	Chapter 14 Mathematical Reasoning Notes
Chapter 15 Statistics Notes	Chapter 16 Probability Notes