Answer:
the graph in the attached figure
Step-by-step explanation:
we have
[tex]7x+3y<6-5x[/tex]
isolate the variable y
Subtract 7x both sides
[tex]3y<6-5x-7x[/tex]
[tex]3y<-12x+6[/tex]
Divide by 3 both sides
[tex]y<-4x+2[/tex]
The solution of the inequality is the shaded area below the dashed line
The equation of the shaded line is [tex]y=-4x+2[/tex]
The slope of the dashed line is negative [tex]m=-4[/tex]
The y-intercept of the dashed line is the point [tex](0,2)[/tex]
The x-intercept of the dashed line is the point [tex](0.5,0)[/tex]
To graph the inequality plot the intercepts and shade the area below the dashed line
using a graphing tool
the graph in the attached figure
