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NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities are given in the article. Linear inequalities are the expressions where there is a comparison between two values by the inequality symbols like, ‘<’, ‘>’, ‘≤’ or ‘≥’. NCERT Solutions Class 11 Maths Chapter 6 cover the introduction of linear inequalities, graphing of linear inequalities, and its examples in more precise manner.
Also check: Addition of Two Real Functions
Download: NCERT Solutions for Class 11 Mathematics Chapter 6 pdf
Class 11 Maths NCERT Solutions Chapter 6 Linear Inequalities
Class 11 Maths NCERT Solutions Chapter Chapter 6 Linear Inequalities are as provided below:
Also check: Linear Inequalities Important Questions
Important Topics for Class 11 Maths NCERT Solutions Chapter 6 Linear Inequalities
Important Topics for Class 11 Maths NCERT Solutions Chapter 6 Linear Inequalities are elaborated below:
- Introduction to Linear Inequalities
Linear inequalities are inequalities that have at least one linear algebraic expression. This means, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1.
There are 5 symbols that are used to represent linear inequalities:
| Symbol Name | Symbol | Example |
|---|---|---|
| Not equal | ≠ | x ≠ 3 |
| Less than | (<) | x + 7 < √2 |
| Greater than | (>) | 1 + 10x > 2 + 16x |
| Less than or equal to | (≤) | y ≤ 4 |
| Greater than or equal to | (≥) | -3 - √3x ≥ 10 |
Please note: If p < q, then p is a number that is less than q. If p ≤ q, then it means that p is a number that is either less than q or is exactly equal to q. Likewise, the pattern is applicable on remaining two inequalities > (greater than) and ≥ (greater than or equal to).
- Graphing of linear inequalities
To graph a linear inequality in two variables (say, x and y ), first we put y alone on one side. Consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line.
| Steps for Graphing Linear Inequalities: Step 1: Rearrange the equation so "y" is on the left and everything else on the right. Step 2: Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>) Step 3: Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤). |
NCERT Solutions For Class 11 Maths Chapter 6 Exercises:
The detailed solutions for all the NCERT Solutions for Chapter 6 Linear Inequalities under different exercises are as follows:
- NCERT Solutions for Chapter 6 Linear Inequalities Exercise 6.1 Solutions
- NCERT Solutions for Chapter 6 Linear Inequalities Exercise 6.2 Solutions
- NCERT Solutions for Chapter 6 Linear Inequalities Exercise 6.3 Solutions
- NCERT Solutions for Chapter 6 Linear Inequalities Miscellaneous Exercises
Also check:
| Unit Related Important Topics | ||
|---|---|---|
| Solving Inequalities | Relation between Degree and Radian | Sequence and Series |
Also check:
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