Unit-I: Sets and Functions

Chapter 1: Sets

10 Topics | 4 Quizzes
Chapter 2: Relations & Functions

14 Topics | 4 Quizzes
Chapter 3: Trigonometric Functions

15 Topics | 4 Quizzes
Unit-II: Algebra

Chapter 1: Principle of Mathematical Induction

3 Topics | 5 Quizzes
Chapter 2: Complex Numbers and Quadratic Equations

9 Topics | 4 Quizzes
Chapter 3: Linear Inequalities

6 Topics | 5 Quizzes
Chapter 4: Permutations and Combinations

4 Topics | 5 Quizzes
Chapter 5: Binomial Theorem

5 Topics | 5 Quizzes
Chapter 6: Sequence and Series

10 Topics | 4 Quizzes
Unit-III: Coordinate Geometry

Chapter 1: Straight Lines

16 Topics | 5 Quizzes
Chapter 2: Conic Sections

5 Topics | 4 Quizzes
Chapter 3. Introduction to Three–dimensional Geometry

7 Topics | 4 Quizzes
Unit-IV: Calculus

Chapter 1: Limits and Derivatives

6 Topics | 4 Quizzes
Unit-V: Mathematical Reasoning

Chapter 1: Mathematical Reasoning

15 Topics | 6 Quizzes
Unit-VI: Statistics and Probability

Chapter 1: Statistics

6 Topics | 5 Quizzes
Chapter 2: Probability

7 Topics | 4 Quizzes
**Solution:**

Values of & , which make inequalities true statements.

**Graphical Representation:**

In two variables the graph of the solution is drawn on a Cartesian Plane. A line divides the Cartesian Plane into two parts. Each part is known as half plane.

A vertical line will divide the plane into a left and right half-plane and a non-vertical line will divide the plane into lower and upper half-planes.

Let us consider the line

There are possibilities namely:

(i)

(ii)

(iii)

Often we use mostly or

**Notes:**

(i) the region containing all the solutions of an inequality is called the Solution Region.

(ii) To check the points shaded region of inequality, we have to satisfy the inequation with the origin .

(iii) If an inequality is of the type or , then the points on the line are also included in the solution region.

(iv) If an inequality is of the form or , then the points on the line are not to be included in the solution region.

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