SOLUTION: Using any tool (Desmos or by hand on scratch paper) graph the inequality. Select 3 points. One point should be in the solution set, one is not, and one should be on the boundary li

Question 1203537: Using any tool (Desmos or by hand on scratch paper) graph the inequality. Select 3 points. One point should be in the solution set, one is not, and one should be on the boundary line. In the boxes below, prove mathematically that each point matches the description. All steps need to be shown to earn full credit. (6 points)
3x-2y>-4

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the graph is shown below.

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.

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