Which graph best represents the following inequality y < x/2 -3

The graph is represented below.

Step-by-step explanation:

Given:

The inequality to graph is given as:

In order to graph it, we first graph the line. So, we replace the inequality sign by equal to sign. This gives,

Now, let . So, the value of 'y' is given as:

A point on the line is (0, -3)

Now, let . So, the value of 'x' is given as:

Another point on the line is (6, 0).

Now, mark the points on the graph and draw a line passing through these two points.

Now, we consider the inequality .

As 'y' is less than , so the solution region is the region below the line as shown in the graph below.

Also, the line itself is not included in the solution. So, the line is a broken line and not a continuous line.