Question
Represent the following inequality graphically in two dimensional plane:
3y + 6 < 0
Solution
3y + 6 < 0 
3y < - 6 or y < - 2
The line drawn will be at y = -2 on y-axis and it will be horizontal.
The inequality is y<-2, so dotted line is drawn O (0, 0) substituted in y > -2
0 < -2 which is false.
∴ The region represented is the one which does not contain (0, 0).
(or alternatively y < -2 is towards the lower side of the horizontal line)
The graph of inequality is :
