Step-by-step explanation
To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line

Step 1
a)change the "> " for a "=" and then isolate y

b) now, graph the line
to do that, we need points
so
I) for x=0

so,the coordinate is ( 0,-6)
ii) when x = 6

so, the coordinate is (6,0)
c) finally, draw a dotted line that passes trought (0,-6) and (6,0), as we are lookinjg for the y-values greater than the line, let's isolate y in the inequality to check what area to shade, so
[tex]\begin{gathered} 3-3y>21-3x \\ \text{subtract 3 in both sides} \\ 3-3y-3>21-3x-3 \\ -3y>-3x+18 \\ \text{divide both sides by (-3),remember swap the sign } \\ \frac{-3y}{-3}<\frac{-3x+18}{-3} \\ yso, we need to find all the values smaller than the line, so we need to shade de area under the line