Let \(d\) represent the number of days Fred runs. The total distance he runs in a week is given by the product \(4 \times d\), and he wants this to be at least 14 miles.
So, we can write the inequality:
\[4d \geq 14\]
Now, solve for \(d\):
\[d \geq \frac{14}{4}\]
\[d \geq 3.5\]
Since \(d\) represents the number of days, it must be a whole number. Therefore, Fred needs to run for at least 4 days in a week to cover at least 14 miles.
Now, let's graph this inequality on a number line. We'll shade the region to the right of \(d \geq 3.5\) because Fred needs to run at least 4 days.
```
-----------------------
0 1 2 3 4 5 6
^
|
(3.5 and above)
```
The arrow points to the region representing the values of \(d\) that satisfy the inequality, which means Fred running at least 4 days in a week.
