Solution:
The given inequality is
![\[x-y\le 2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-33a78331b3d8c82d13e92ae007b291d2_l3.png "Rendered by QuickLaTeX.com")
Let us draw a solid line
![\[x-y=2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d10174b63b0d7be2c9e613fb1bb89737_l3.png "Rendered by QuickLaTeX.com")
in the graph (∵
is included in the given question)
Let us Consider
A point
![\[(0,0)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-8daf6bd89e29ad3be552bc2f6e6140a5_l3.png "Rendered by QuickLaTeX.com")
is selected
⇒
![\[(0)-(0)\le 2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-4b79a015a41e4af5a28832c220a0b99e_l3.png "Rendered by QuickLaTeX.com")
⇒
![\[0\le 2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-1c823d485af7a58fa4b3f64a1ff08846_l3.png "Rendered by QuickLaTeX.com")
(this is true)
Therefore, the solution region of
is above the line
. (That is origin is included in the region)
The graph is represented as:
