Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]x+2y > 4[/tex]
Isolate the variable y
subtract x both sides
[tex]2y > -x+4[/tex]
Divide by 2 both sides
[tex]y > -\frac{1}{2}x+2[/tex]
The solution of the inequality is the shaded area above the dashed line
[tex]y=-\frac{1}{2}x+2[/tex]
The slope of the dashed line is negative
The y-intercept of the dashed line is (0,2)
The x-intercept of the dashed line is (4,0)
therefore
The graph in the attached figure
