NCERT Solutions For Class 11 Maths Chapter 6- Linear Inequalities

NCERT Solutions For Class 11 Maths Chapter 6 PDF Free Download

The NCERT solutions for the questions given in Chapter 6, Linear Inequalities, of the Class 11 NCERT textbooks are available here. In this chapter students learn about Linear Inequalities in detail. Students can easily score full marks in the questions from this chapter by solving all the questions present in the NCERT textbook.

The Class 11 NCERT solutions for Linear Inequalities are very easy to understand. These solutions cover all the exercise questions included in the book and are according to the latest guidelines of CBSE. Here, the PDF of the Class 11 maths Chapter 6 NCERT solutions is available which can be downloaded and referred in online mode. Students can also avail these NCERT solutions and download it for free to practice them offline as well.

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NCERT Solutions for Class 11 Maths Chapter 6- Linear Inequalities

The major concepts of Maths covered in Chapter 6- Linear Inequalities of NCERT Solutions for Class 11 includes:

6.1 Introduction

6.2 Inequalities

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

6.4 Graphical Solution of Linear Inequalities in Two Variables

6.5 Solution of System of Linear Inequalities in Two Variables

Exercise 6.1 Solutions 26 Questions

Exercise 6.2 Solutions 10 Questions

Exercise 6.3 Solutions 15 Questions

Miscellaneous Exercise On Chapter 6 Solutions 14 Questions

NCERT Solutions for Class 11 Maths Chapter 6- Linear Inequalities

The chapter Linear Inequalities belongs to the unit Algebra, that adds up to 30 marks of the total 80 marks. There are 3 exercises along with a miscellaneous exercise in this chapter to help students understand the concepts related to Linear Inequalities clearly. Some of the topics discussed in Chapter 6 of NCERT Solutions for Class 11 Maths are as follows:

  1. Two real numbers or two algebraic expressions related by the symbols <, >, ≤ or ≥ form an inequality.
  2. Equal numbers may be added to (or subtracted from ) both sides of an inequality.
  3. Both sides of an inequality can be multiplied (or divided ) by the same positive number. But when both sides are multiplied (or divided) by a negative number, then the inequality is reversed.
  4. The values of x, which make an inequality a true statement, are called solutions of the inequality.
  5. 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 a.
  6. 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.
  7. If an inequality is having ≤ or ≥ symbol, then the points on the line are also included in the solutions of the inequality and the graph of the inequality lies left (below) or right (above) of the graph of the equality represented by dark line that satisfies an arbitrary point in that part.
  8. If an inequality is having < or > symbol, then 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 dotted line that satisfies an arbitrary point in that part.
  9. The solution region of a system of inequalities is the region which satisfies all the given inequalities in the system simultaneously

Key Features of NCERT Solutions for Class 11 Maths Chapter 6- Linear Inequalities

Studying the Linear Inequalities of Class 11 enables the students to understand the following:

Linear inequalities.Algebraic solutions of linear inequalities in one variable and their representation on the number line.Graphical solution of linear inequalities in two variables.Graphical method of finding a solution of systems of linear inequalities in two variables.

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