# NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities

NCERT solutions for class 11 maths chapter 6 covers the concepts of the algebraic solutions of Linear Inequalities in one variable and also their representation on the number line & Linear Inequalities in two variables with graphical representations.

The students can have knowledge of finding a solution to the system of Linear Inequalities in two variables. Chapter 6 maths class 11 NCERT solutions in NCERT Solutions have three exercises that are based on the NCERT textbook.

## NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities

Class 11 Maths solutions chapter 6 solutions provide the students with a detailed account of the chapter Linear Inequalities. Linear Inequalities is defined as the equation which is not equal on both sides. These are equations that have less than or more than signs. It does not include an equal sign. This chapter is in comprehensive detail in solutions for class 11 Maths Chapter 6. Linear Inequalities are used in many real-life applications like income and expenditure problems to find the proportion of the amount.

Chapter 6 Class 11 Maths solutions include questions, answers, images, explanations that students can download these solutions in the PDF format to learn anywhere & anytime. This assists the students to understand the concept and solve it on their own. solutions for class 11 Maths Chapter 6 are the best reference material to solve the exercise problems. These will also assist them to revise the concepts and practice the questions for the exams.

You can download CBSE NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities from below.

## What will you learn in NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities?

There are three exercises and one miscellaneous exercise in chapter 6 class 11 maths solutions that assist the students to understand the concepts in detail. The topics covered in class 11 maths chapter 6 solutions are as follows:

6.1 Introduction:

Two algebraic expressions or real numbers related by any of the symbols ≤, ≥, <, and > form an inequality like px + qy > 0, 3a –19b < 0. The students can easily solve word problems by converting them into inequalities.

6.2 Inequalities:

In this exercise, there are well-explained concepts with the real-life scenarios which can be transformed into linear inequalities & include lots of practice problems provided along with solved examples.

6.3 Algebraic Solutions of Linear Inequalities in 1 Variable and their Graphical Representation

In this exercise, the students can learn the meaning of a solution of linear inequalities and the graphical representation of these solutions. The solutions for linear inequalities are explained with examples.

6.4 Graphical Solution of Linear Inequalities in Two Variables:

The students can understand the representation of the solution of linear inequalities in two variables on the Cartesian plane & they can identify the solution region for the given inequalities.

6.5 Solution of System of Linear Inequalities in Two Variables

The solution of the system of linear inequalities in two variables using graphical methods is explained with many examples to assist the students to understand the concept in a better way.

### Theorems and formulas used in chapter

• Two real numbers or two algebraic expressions related by the symbols <, >, ≤ or ≥ form an inequality.
• The values of x that make an inequality a true statement is called solutions of the inequality.
• To represent x < a (or x > a) on a number line, put a circle on the number ‘a’ and dark line to the left (or right) of the number ‘x’.
• To represent x ≤ a (or x ≥ a) on a number line, put a dark circle on the number ‘a’ and dark the line to the left (or right) of the number x.
• If inequality is having < or > symbol, the points on the line are not included in the solutions of the inequality and the graph of the inequality lies to the left (below) or right (above) of the graph of the corresponding equality represented by a dotted line that satisfies an arbitrary point in that part.

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