Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Solving Pair of Linear Inequalities
Question 2 Deleted for CBSE Board 2024 Exams
Question 3 Deleted for CBSE Board 2024 Exams
Question 4 Important Deleted for CBSE Board 2024 Exams
Question 5 Deleted for CBSE Board 2024 Exams
Question 6 Important Deleted for CBSE Board 2024 Exams
Question 7 Important Deleted for CBSE Board 2024 Exams
Question 8 Important Deleted for CBSE Board 2024 Exams You are here
Question 9 Deleted for CBSE Board 2024 Exams
Question 10 Important Deleted for CBSE Board 2024 Exams
Question 11 Important Deleted for CBSE Board 2024 Exams
Question 12 Important Deleted for CBSE Board 2024 Exams
Question 13 Deleted for CBSE Board 2024 Exams
Question 14 Important Deleted for CBSE Board 2024 Exams
Question 15 Important Deleted for CBSE Board 2024 Exams
Solving Pair of Linear Inequalities
Last updated at May 29, 2023 by Teachoo
Question 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 Putting x = 0 in (1) 0 + y = 9 y = 9 Putting y = 0 in (1) x + 0 = 9 x = 9 Points to be plotted are (0, 9), (9, 0) 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 Putting x = 0 in (2) y = 0 Putting x = 2 in (2) y = 2 Points to be plotted are (0,0), (2,2) 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