Solution:
The given inequality is
![\[-3x+2y\ge -6\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-3e5aa0b493d370e3dae527c7627bd272_l3.png "Rendered by QuickLaTeX.com")
Let us draw a solid line
![\[-3x+2y=-6\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-c79a04f4ce8680c8798d5cced2e4e138_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
⇒
![\[-3\times (0)+2\times (0)\ge -6\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-a24748b6a4adccf0b70d5bfecfecbda2_l3.png "Rendered by QuickLaTeX.com")
⇒
![\[0\ge -6\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-b9bfed4ea20550502e0e4405757141b4_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:
