Given:
The inequality is:
[tex]5x-y>-3[/tex]
To find:
The graph for the given linear inequality in the coordinate plane.
Solution:
We have,
[tex]5x-y>-3[/tex]
The related equation for this inequality is:
[tex]5x-y=-3[/tex]
The table of values is:
x y
0 3
-1 -2
Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.
Check the given inequality for (0,0).
[tex]5(0)-(0)>-3[/tex]
[tex]0>-3[/tex]
This statement is true. So, the shaded area of the given inequality is towards the origin.
Therefore, the required graph is shown below.
