CBSE Class 11-science Answered
Solve the system of inequations graphically x
y, y + x
5, x, y
0
![greater or equal than](http://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=8bb1ce6ed52ef2a29fafd8e3179ce3af.png)
![less or equal than](http://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=733a2dcaf45ddce649e6645caa9ab200.png)
![greater or equal than](http://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=8bb1ce6ed52ef2a29fafd8e3179ce3af.png)
Asked by Topperlearning User | 30 Apr, 2014, 11:19: AM
We draw the graphs of the linear equations x = y and x + y = 5 in the same plane.For shading the region for x y, we take a point, say (2, 0) substitute it in the inequality
x y i.e. 2
0.
Clearly the inequality is satisfied hence the region B will be shaded for x y. Thus, the region shaded in red colour will represent the inequality x
y.
Similarly we can see that region coloured in green represents the inequality
x + y 5.
Also x 0, y
0 means that we are in the first quadrant.
So the doubly shaded region in the shape of a triangle is the required region.
Answered by | 30 Apr, 2014, 13:19: PM
Concept Videos
CBSE 11-science - Maths
Asked by mohvijayjain12 | 22 Jun, 2022, 11:07: AM
CBSE 11-science - Maths
Asked by swajaydixit04 | 19 Jun, 2020, 22:22: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 30 Apr, 2014, 11:19: AM
CBSE 11-science - Maths
Asked by Topperlearning User | 30 Apr, 2014, 11:22: AM
CBSE 11-science - Maths
Asked by Topperlearning User | 30 Apr, 2014, 12:38: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM