NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities are an important portion of mathematics. It is quite easy to score if your basic concepts are clear in this chapter. Linear inequalities are mathematical problems where relativity is gauged using ‘<’, ‘>’, ‘<=’, ‘>=’ operators instead of the ‘=’ or the equality operator. In other words, linear inequalities are similar to linear equations in algebra, but there is a major difference. When you multiply or divide both sides of an ‘inequal’ equation with the same negative number, the inequality reverses. Whereas in linear equations, there is no change to the equality operator.
For instance, 4x - 6 > 90 is a linear inequation. You can solve this expression as if the ‘>’ sign is an equal sign to get the value of ‘x’. In this inequation, we first add +6 to both sides. We will get 4x > 96. Next, we divide both sides by 4 to arrive at our final answer x > 4. This means that the value of x is greater than the integer 4 until infinity. All in all, NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities are relatively simple. You can also follow NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities NCERT solutions for more such examples.
Topics covered in this Chapter |
1. Introduction |
2. Inequalities |
3. Algebraic Solutions of Linear Inequalities in 1 Variable and their Graphical Representation |
4. Graphical Solution of Linear Inequalities in Two Variables |
5. Solution of System of Linear Inequalities in Two Variables |
Linear inequalities are similar to linear equations in terms of algebraic expressions. However, instead of using the equality operator to express the two sides, the greater than, greater than equal to, less than, less than equal to are the operators used instead. Moreover, the process to simplify such equations also remains quite the same. Only if you multiply or divide both the sides of the inequation with any negative number, the sign of inequality reverses. In essence, the greater than becomes a less than or vice versa.NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities include inequalities in one variable and inequalities in two variables. You may also be required to plot on a number line and a graph to represent your answer.