On the number line diagram, heavy arrow drawn from 4 to left side and 12 to right side So, the numbers below 4 and above 12 are solutions to the inequality.

On the number line diagram a circle is shown at 4 and 12. So, the numbers 4 and 12 are not included in the solution set.

So, the solution set is .

To write a open sentence, find the point that is same distance from points 4 and 12.

The distance from 4 to 8 is 4 units.

The distance from 8 to 12is 4 units.

Since the midpoint is 8.

The distance between 8 and x is greater than or equal to 4 units.

So, the open sentence for the given graph is .

Open sentence for the given graph is .