The given inequality is
![x+5\ge0](https://img.qammunity.org/2023/formulas/mathematics/college/7hng2btfevvcnszgvg5qljfv0gwqnv58y4.png)
Consider the equation
![x+5=0](https://img.qammunity.org/2023/formulas/mathematics/college/uilk8umtgf3wsz1raum0x8b3b4lp514728.png)
![x=-5](https://img.qammunity.org/2023/formulas/mathematics/high-school/pexczrieq35nou059rt5i81ydups7s2uzi.png)
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
![0+5\ge0](https://img.qammunity.org/2023/formulas/mathematics/college/zx1bxw9prhveqqamqjer6sxivenlr1u4yp.png)
![5\ge0](https://img.qammunity.org/2023/formulas/mathematics/college/mfqrwjweo0v1uefit6uf4928mazp5w5sfx.png)
It is true, so the point (0,0) lies in the given inequality. so shade the right side of the line.
The graph is