# Ex 6.3, 8

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex6.3, 8 Solve the following system of inequalities graphically: x + y ≤ 9, y > x, x ≥ 0 First we solve x + y ≤ 9 Lets first draw graph of x + y = 9 Drawing graph Checking for (0,0) Putting x = 0, y = 0 x + y ≤ 9 0 + 0 ≤ 9 0 ≤ 9 which is true Hence origin lies in plane x + y ≤ 9 So, we shade left side of line Now we solve y > x Lets first draw graph of y = x Drawing graph Checking for (9,0) Putting x = 9, y = 0 y > x 0 > 9 which is false Hence (9,0) does not lie in plane x > y So, we shade left side of line Also, x ≥ 0 So, we shade right side of y axis Hence the shaded region represents the given inequality

Class 11

Important Question for exams Class 11

- Chapter 1 Class 11 Sets
- Chapter 2 Class 11 Relations and Functions
- Chapter 3 Class 11 Trigonometric Functions
- Chapter 4 Class 11 Mathematical Induction
- Chapter 5 Class 11 Complex Numbers
- Chapter 6 Class 11 Linear Inequalities
- Chapter 7 Class 11 Permutations and Combinations
- Chapter 8 Class 11 Binomial Theorem
- Chapter 9 Class 11 Sequences and Series
- Chapter 10 Class 11 Straight Lines
- Chapter 11 Class 11 Conic Sections
- Chapter 12 Class 11 Introduction to Three Dimensional Geometry
- Chapter 13 Class 11 Limits and Derivatives
- Chapter 14 Class 11 Mathematical Reasoning
- Chapter 15 Class 11 Statistics
- Chapter 16 Class 11 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.