What is the system of linear inequalities in this graph?

Step-by-step explanation:

You first need to determine the individual inequalities according to their shading.  The perfectly vertical line is at x = -2.  However, since this is an inequality and there is shading involved, we have to use an inequality sign that signifies which side of the line is shaded.  We are shading to the left of the line and those values are less than -3.  BUT we also have a dotted line as opposed to a solid line.  That inequality, then, looks like this:

x < -3

The other inequality is a line.  It is solid, and the solution set is below the line so those values are also less than the line.  First, determine what the equation for the line is, then we will worry about the inequality.  The y-intercept is at -2, and the slope is -1, so the inequality is:

y ≤ -x - 2

The system is both of those inequalities put together.

answer:

your answer is: c. 196 7/8 in^3.