From the problem, we have the inequality :
![8d\ge-40](https://img.qammunity.org/2023/formulas/mathematics/college/d5x78g7aayvpqgz30xime8cpiz3cfpq05y.png)
Divide both sides by 8 :
![\begin{gathered} \frac{\cancel{8}d}{\cancel{8}}\ge(-40)/(8) \\ d\ge-5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/6jyuqzmz5ecj14j86kjpwm52q9e1gwtkyk.png)
The solution is d is greater than or equal to 5.
Frankie and Nick's solution starts from x = -5 and the direction is to right.
Note that if the inequality symbols are < or >, the endpoint must be a non-shaded circle, otherwise it is a shaded circle
Since the inequality symbol is ≥, the endpoint must be a shaded circle.
ANSWER :
Frankie's solution is correct because the endpoint is a shaded circle.
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