The given inequality is
[tex]x+5\ge0[/tex]
Consider the equation
[tex]x+5=0[/tex]
[tex]x=-5[/tex]
Mark the point (-5,0) on the graph and draw a vertical line.
we get the graph of the line x=-5.
The graph is
Now take the point (0,0) which does not lie on the line.
Substitute x=0 in the inequality, we get
[tex]0+5\ge0[/tex]
[tex]5\ge0[/tex]
It is true, so the point (0,0) lies in the given inequality. so shade the right side of the line.
The graph is
