Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y −4x − 1
y is less than 3 over 2 times x minus 1

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (−1, −1) included in the solution area for the system? Justify your answer mathematically. (4 points)

(10 points)

Question

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y > −4x − 1
y is less than 3 over 2 times x minus 1

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (−1, −1) included in the solution area for the system? Justify your answer mathematically. (4 points)

(10 points)

Extrinix · Answer

Let's firt convert $y~is~less~than~3~over~2~times~x~minus~1$

$y< \dfrac{3}{2} x-1$

Ok so, when you graph -4x-1 (y=-4x-1) it shows the right side of the line as shaded, and when you graph $y< \dfrac{3}{2} x-1$ it shows the right side as well.

To figure out Answer A, give a description of what the graph looks like, how the line looks, if it's positive or negative, which sides of it are shaded, etc.

To figure out Answer B, take a look at the graph of both of the equations, and look to see if $ (-1,-1) $ exists inside of the shaded areas, not the open areas.