Question 1203537
the graph is shown below.
<img src = "http://theo.x10hosting.com/2023/090803.jpg">
i used desmos.com.
with that, you can graph the inequality directly.
the equation i used is 3x - 2y > -4
desmos.com shades the area that satisfies the inequality.
i chose 3 points.
(-4,4) does not satisfy the inequality because it is not in the shaded area.
(4,-4) does satisfy the inequality because it is in the shaded area.
(4,8) is on the boundary because it is on the line.
note that, because the inequality is > rather than >=, even though (4,8) is on the line, it does not satisfy the inequality.


you can also solve these algebraically.


with (-4,4), you get 3x - 2y > -4 becomes -12 - 8 > -4 which becomes -20 > -4 which does not satisfy the inequality.


with (4,-4), you get 3x - 2y > -4 becomes 12 + 8 > -4 which becomes 20 > -4 which does satisfy the inequality.


with (4,8), you get 3x - 2y > -4 which becomes 12 - 16 > -4 which becomes -4 > -4 which does not satisfy the inequality.