Answer:
![350 * D \geq 1400](https://tex.z-dn.net/?f=350%20%2A%20D%20%5Cgeq%201400)
![D\ge 4](https://tex.z-dn.net/?f=D%5Cge%204)
This means that the family must travel for at least 4 days.
<em></em>
Step-by-step explanation:
Given
![Rate = 350\ miles\ daily](https://tex.z-dn.net/?f=Rate%20%3D%20350%5C%20miles%5C%20daily)
![Distance = 1400\ miles\ (atleast)](https://tex.z-dn.net/?f=Distance%20%3D%201400%5C%20miles%5C%20%28atleast%29)
Required
Determine and solve the inequality
The number of days is represented with D
So:
On any D number of days, the family would have covered a distance of 350 * D miles
If the total distance is at least 1400, then the inequality is:
![350 * D \geq 1400](https://tex.z-dn.net/?f=350%20%2A%20D%20%5Cgeq%201400)
[The term "At least" is used to represent <em>greater than or equal to</em>]
![350 * D \geq 1400](https://tex.z-dn.net/?f=350%20%2A%20D%20%5Cgeq%201400)
Divide through by 350
![\frac{350 * D}{350} \ge \frac{1400}{350}](https://tex.z-dn.net/?f=%5Cfrac%7B350%20%2A%20D%7D%7B350%7D%20%5Cge%20%5Cfrac%7B1400%7D%7B350%7D)
![D \ge \frac{1400}{350}](https://tex.z-dn.net/?f=D%20%5Cge%20%5Cfrac%7B1400%7D%7B350%7D)
![D\ge 4](https://tex.z-dn.net/?f=D%5Cge%204)
<em>This means that the family must travel for at least 4 days.</em>