Take Class 11 Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Search in
Asked by Pradeep Last Modified
Answer 
Vishaka Bhutia
Home Tutor
x + y ≤ 9 ... (1)
y > x ... (2)
x ≥ 0 ... (3)
The graph of the lines, x + y= 9 and y = x, are drawn in the figure below.
Inequality (1) represents the region below the line, x + y = 9 (including the line x + y = 9).
It is observed that (0, 1) satisfies the inequality, y > x. [1 > 0]
Therefore, inequality (2) represents the half plane corresponding to the line, y = x, containing the point (0, 1) [excluding the line y = x].
Inequality (3) represents the region on the right hand side of the line, x = 0 or y-axis (including y-axis).
Hence, the solution of the given system of linear inequalities is represented by the common shaded region including the points on the lines, x + y = 9 and x = 0, and excluding the points on line y = x as follows.
X + y ≤9, y>x and x≥0
For solving this problem follow the below steps.
step1:- consider the inequations as strict equations.
x + y = 9,
y = x,
x = 0
step2:- find the points on co-ordinate axes.
for, x + y = 9
when, x = 0, y =9,
when, y = 0, x = 9
y = x , passing through origin(0,0)
x = 0 is coincidence with y-axis.
step3:- plot the graph,
x + y = 9,
y = x
x = 0
step4:- take a point(0,0)and put it in inequations.
(0)+(0) ≤ 9 , which is true. Hence, the shaded region will be towards the origin.
(0)>(0) , which is true. Hence, the shaded region will be towards the origin.
(0) ≥ 0 , which is true. Hence the shaded region will be towards the origin.
thus, common shaded region shows the solution of the inequalities.
read less
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRecommended Articles
The Trend of E-learning and it’s Benefits
E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...
Read full article >
Top Benefits of e-Learning
With the current trend of the world going digital, electronic renaissance is a new movement that is welcomed by the new generation as it helps makes the lives of millions of people easier and convenient. Along with this rapidly changing movement and gaining popularity of Internet, e-Learning is a new tool that emerging...
Read full article >
5 Engaging Activities For Children To Get...
Learning for every child starts from a very young age. While the formal methods include school curriculums and private lessons, the informal methods include dancing, music, drawing, and various fun-filling activities. Playing games and practising these types of activities helps the children get out of boredom and...
Read full article >
6 Exam Hall Tips To Follow, For Every Good Student
Appearing for exams could be stressful for students. Even though they might have prepared well, they could suffer from anxiety, tension etc. These are not good for their health and mind. However, following a few exam preparation tips can save them from all these and help them to score good marks. Let’s find out all...
Read full article >
Looking for Class 11 Tuition ?
Learn from the Best Tutors on UrbanPro
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near youThe best tutors for Class 11 Tuition Classes are on UrbanPro
The best Tutors for Class 11 Tuition Classes are on UrbanPro
