Linear Inequalities Class 11 Maths Chapter 6 deals with the understanding of linear inequalities in one and two variables that are essential for solving problems in the field of science, mathematics, statistics, optimisation problems, economics, psychology, etc. Class 11 Maths Chapter 6 explains the key concepts related to Linear Inequalities with examples. The concepts taught in Class 11 Chapter 6 Linear Inequalities will also help students to gain a thorough understanding of this topic and its practical applications. The expert faculty of Toppr produced these solutions to assist students with their first-term exam preparations.
Linear Inequalities Class 11 Chapter 6 also covers topics such as Introduction to linear inequalities, algebraic solutions of linear inequalities in one variable, graphical representation of linear inequalities in one variable and two variables, and solution of the system of linear inequalities in two variables. Students will quickly learn about these concepts if they practice Chapter 6 Maths Class 11 NCERT Solutions of Linear Inequalities. All of these solutions have been created with the new CBSE pattern in mind, ensuring that students have a thorough understanding of their exams. It goes over all major concepts in depth, allowing students to better understand the ideas.
Chapter 6 Maths Class 11 Questions and Answers can help you get good grades in tests and properly prepare for all of the important concepts. Several examples provided in the solutions will assist students with a better understanding of linear inequalities. Linear Inequalities Class 11 NCERT Solutions Chapter 6 are available below in pdf format, and a few solutions are also included in the exercises. These solutions explain the topics covered with examples so that students can easily relate to the notion being discussed.
Two real numbers or two algebraic expressions related by the symbol ‘<’, ‘>’, ‘≤’ or ‘≥’ form an inequality. For example:
x > 10
y ≤ 4
ax + b > 0
ax + by ≤ c
ax^{2} + bx + c ≥ 0
The following are the rules followed for algebraic operations on linear inequalities in one variable:
For Graphical Representation:
The region containing all the solutions of an inequality, which satisfies all the given inequalities is called the solution region.
Q1. How should linear inequalities in two variables be expressed?
Answer: Linear inequalities in two variables can be written as ax + by < c or ax + by ≤ c or ax + by > c or ax + by ≥ c.
Q2. What is the difference between literal and numerical inequalities?
Answer: Literal inequalities are ones that include both variables and numbers. For example, x < 3, y > 8, and x < 4 etc. In contrast, numerical inequalities solely include numbers. For example, 5 < 7, 9 > 2, and 2 < 1, etc.
Q3. How many exercises are there in the Linear Inequalities Class 11 NCERT Solutions?
Answer: There are 50 questions in three exercises in Class 11 Maths Chapter 6 Linear Inequalities, including 15 problems in a miscellaneous practice. These tasks largely focus on the understanding of linear inequalities, their algebraic solutions, and their graphical depiction. The solutions to the exercise-specific problems are also accessible in PDF format, with the goal of assisting students in performing well in the yearly exam.
Q4. What are the key subtopics in Linear Inequalities Class 11 Maths Chapter 6 that could be tested?
Answer: NCERT Solutions Class 11 Maths Chapter 6 begins with a brief overview of linear inequalities and associated concepts. It also discusses some of the most significant algebraic ideas for solving linear inequalities in one and two variables, as well as their graphical representation and pictorial method for solving linear inequalities.
Q5. Is it necessary to practice all of the questions in Linear Inequalities Class 11 NCERT Solutions?
Answer: Linear Inequalities Class 11 NCERT Solutions are well-designed to help students study Linear Inequalities easily. It thoroughly covers all essential principles, allowing students to grasp the concepts. These solutions use examples to clarify the subjects presented so that students may easily relate to the concepts being addressed.