I want to understand step by step , detail by detail , as to how i solve systems of inequalities by graphing. I honestly don't understand algebra 2 at all. Math has always been a weakness for me.

Need graph to show

But say that :

Y < X+3

Y > -2 + 3x

First you graph the line Y = X +3 , connect y( 0, 3 ) Y ( -3 , 0) .The intercept points.

test the origin ( 0 , 0 ) in the inequality. 0< 3, so mark right of the line with dashes as solution

Do the same for Y> -2 + 3x Draw the line y = 3X - 2 connecting ( 2/3 , 0) & ( 0, -2)

( 0.0)

0 > -2 , so mark right of the line as solution.

System 's solution will be overlapped region of the dashed area.