Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]\frac{1}{2}x-2y > -6[/tex]
Isolate the variable y
[tex]-2y > -6-\frac{1}{2}x[/tex]
Divide by -2 both sides
[tex]y < 3+\frac{1}{4}x[/tex]
The solution of the inequality is the shaded area below the dashed line [tex]y = 3+\frac{1}{4}x[/tex]
To plot the inequality find the intercepts
The y-intercept is the point (0,3) (value of y when the value of x is equal to zero)
The x-intercept is the point (-12,0) (value of x when the value of y is equal to zero)
Plot the intercepts
Drawn the dashed line
shaded the region below the dashed line
The graph in the attached figure
