Given :
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.
He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.
To Find :
Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.
Solution :
Let, after x years Abraham visited y countries.
It is mathematically given as :
![10 + 5x=y](https://img.qammunity.org/2021/formulas/mathematics/high-school/8w5o62ng36unox86ob3l497crbey7kob7j.png)
Now, it is given that his goal is minimum of 50 countries.
So,
![10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8](https://img.qammunity.org/2021/formulas/mathematics/high-school/xx49wxj7wa98tqrmbmqctu0tc93nuf8uqo.png)
Therefore, minimum years required to meet his goals are 8.
Hence, this is the required solution.