Exams NCERT Solutions NCERT Solutions for Class 11 Maths Chapter 6 Miscellaneous Exercise Linear Inequalities

Written By Monica_Kumari
Last Modified 27-01-2023

NCERT Solutions for Class 11 Maths Chapter 6 Miscellaneous Exercise Linear Inequalities

NCERT Solutions for Class 11 Maths Chapter 6 Miscellaneous Exercise Linear Inequalities: The chapter’s final exercise, the miscellaneous exercise, contains 14 questions covering the entire chapter’s topics. Moreover, to help students, Embibe explains linear inequalities and their algebraic solutions in detail. An inequality is a statement that contains the words less than, greater than, or equal to. Thus, Linear Inequalities is the study of non-equal expressions or numbers.

Click on the topic-wise links provided in the table below to get access to the Class 12 NCERT Mathematics Chapter 6 chapter-wise important questions:

Section Name	Topic Name
6.1	Introduction
6.2	Inequalities
6.3	Algebraic Solutions of Linear Inequalities in One 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

Embibe’s NCERT books for Class 11 help students build a strong conceptual understanding of the topics in a simple and easy manner. To master the concepts of the chapter, Embibe also offers 400+ practice questions from over 10 books. The NCERT Class 11 Maths Chapter 6 Linear Inequalities miscellaneous questions with solutions are prepared by Mathematics experts at Embibe as per the latest guidelines. Visit Embibe to learn more.

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NCERT Solutions for Class 11 Maths Chapter 6 Miscellaneous Exercise: Important Topics

This topic is very useful in solving problems in science, psychology, statistics, mathematics, economics, and other fields. Moreover, Embibe’s solutions for Class 11 Maths Chapter 6 thoroughly explain and illustrates all of the key concepts related to Linear Inequalities. With the assistance of these solutions, students will quickly gain a thorough understanding of this topic and its practical applications.

However, students need not worry as Embibe’s 3D videos with interactive sessions make learning easy for students. Students can watch the Embibe Explainer for anytime, and on top of that, students can also read the books offered by Embibe to enhance their knowledge.

NCERT Solutions for Class 11 Maths Chapter 6 Miscellaneous Exercise: Important Points to Remember

Some of the Chapter 6 important points to remember from NCERT Solutions for Class 11 Maths Miscellaneous Exercise are as follows:

The graph of the inequality ax + by > c is one of the half-planes and is called the solution region.
When the inequality contains the sign ≤ or ≥, the points on the line are included in the solution region; however, when the inequality contains the sign < or >, the points on the line are not included in the solution region and must be drawn as a dotted line.
The variable’s common values form the required solution to the given system of linear inequalities in one variable.
When solving a system of linear inequations in two variables graphically, the common part of the coordinate plane is the required solution.
Two real numbers or two algebraic expressions related by the symbol ‘<’, ‘>’, ‘≤’ or ‘≥’ form an inequality.
Addition Rule of Linear Inequalities: If x > y ,then x + z > y+z and if x < y, then x + z < y + z.
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

NCERT Solutions for Class 11 Maths: All Chapters

The NCERT Solutions for Class 11 Maths are listed below to help students with their exam preparations:

Steps to Practice Unlimited 11th NCERT Mathematics Chapter-wise Mock Tests

Embibe provides personalised mock tests for every student. They can practice in their own pace and prepare themselves with ease. Below we have provided a detailed guide to taking the mock test based on latest syllabus on Embibe:

1st Step: Click on ‘Create Account‘.
2nd Step: Enter your mobile number.
3rd Step: Then select your Goal as ‘CBSE’.
4th Step: Select your Exam Name as ’11th CBSE’.
5th Step: Click Next and select your preferred language between ‘English’ and ‘Hindi’.
6th Step: Once done, click on the below-mentioned links to take the TEST.