Question 1156056
vertical lines have the same x value, so the equation would be x=2
3x+6y>18
6y>-3x+18
y>(-1/2)x+3
when x and y are both 0 (the origin), we have 0>3, so the origin is the side of the line that is NOT correct. The line should be dashed, too, to show that it is > than but not >=
{{{graph(300,300,-10,10,-10,10,-0.5x+3)}}}

5x-4y>8
-4y>-5y+8
y<(5/4)x-2, changing the inequality with division by a negative number. The line should be dashed and when the origin (0, 0) is put into the equation, 0 >8, so the the shaded side does NOT contain the origin.

{{{graph(300,300,-10,10,-10,10,(5/4)x-2)}}}