Answer:
D
Step-by-step explanation:
We can solve this particular problem entirely by elimination. First, notice, that our inequality simply says the left side is less than the right, not less than or equal to. If it were less than or equal to the value on the right, it would include all of the points on the boundary line, and we'd indicate this with a solid line. In our situation, the left side is never equal to the right, so we'd use a dotted line to draw our boundary line. Only B and D fit the bill.
So between B and D, which one represents [tex]4y+8<-3x[/tex]? Well, setting the two sides equal to each other, we'd get the equation for a line. If (x, y) is a point on that line, then, what does mean when we say the side with y on it is less than the side with the x on it? It means we'd have to decrease the y value of a point on the line, which would give us a point below the line. So our graph has to show every point below the line 4y + 8 = -3x, and the only answer that represents this situation is D
