Solution:
The inequality given is
![\[3x+4y\le 12\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-39fd8bcf6df7c0011de2117b7f362023_l3.png "Rendered by QuickLaTeX.com")
Let us draw a solid line
![\[3x+4y=12\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e14ad9ceb271f5d791d6944e27bc932a_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,
⇒
![\[3\times (0)+4\times (0)\le 12\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-0ea21f39afbe3a0ba4570ebd9d2898fb_l3.png "Rendered by QuickLaTeX.com")
⇒
![\[0\le 12\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ecf4ea33d1cfda5121da754806fa0d20_l3.png "Rendered by QuickLaTeX.com")
(this is true)
Therefore, solution region of the given inequality is below the line
. (That is origin is included in the region)
The graph is represented as:
