To identify, at first, what type of inequality we are looking for, we simply take a couple of points and see where they lay with respect to the line. Consider the point (0,0). We can see that it lays unter the dashed line.
We can easily see that whatever point we choose, the point lies under the line. This type of inequalities are of the form
In this case, the only options we have are y<2.5x+5 and y<-2x+5. In this case, we can see that the line goes to the negative numbers as x increases. This means that the slope of this line is negative. REcall that a line has an equation y=mx+b, where m is the slope. Then, this means that we are looking for an equation y=mx+b where m is negative.
In our case, the equation y=-2x+5 fullfills the criteria, then our final answer is
