Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]-2x-3y<6[/tex]
isolate the variable y
[tex]-2x-6<3y[/tex]
Rewrite
[tex]3y>-2x-6[/tex]
[tex]y>-(2/3)x-2[/tex]
The solution is the shaded area above the dashed line
The equation of the dashed line is [tex]y=-(2/3)x-2[/tex]
The slope of the dashed line is negative [tex]m=-(2/3)[/tex]
The y-intercept of the dashed line is [tex](0,-2)[/tex]
The x-intercept of the dashed line is [tex](-3,0)[/tex]
Plot the intercepts to graph the inequality
see the attached figure
