On the number line diagram, heavy arrow drawn between – 7 and 1. So, the

numbers between –7 and 1 are solutions to the inequality.

On the number line diagram a circle is shown at – 7 and 1. So, the numbers  – 7

and 1 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 – 7 and 1.

The distance from – 7 to –3 is 4 units.

The distance from –3 to 1 is 4 units.

Since the midpoint is –3.

The distance between –3 and x is less than to 4 units.

So, the open sentence for the given graph is

Open sentence for the given graph is .