What is the Inequality for this graph?

Given:

The graph of an inequality.

To find:

The inequality for the given graph.

Solution:

From the given graph it is clear that the boundary line passes through the points (6,0) and (0,-4). So, the equation of the line is

The area under the boundary line is shaded and boundary line is a dotted line it means the points on the line are not included in the solution set. So, the inequality sing must be <.

Therefore, the required inequality for the given graph is .

is only a line? i think so