Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]x+2y > 4[/tex]
we know that
The solution of the inequality is the shaded area above the dashed line
The equation of the line is
[tex]x+2y = 4[/tex]
Find the x-intercept
For [tex]y=0[/tex]
[tex]x+2*0 = 4[/tex]
[tex]x=4[/tex]
The x-intercept is the point [tex](4,0)[/tex]
Find the y-intercept
For [tex]x=0[/tex]
[tex]0+2y = 4[/tex]
[tex]2y=4[/tex]
[tex]y=2[/tex]
The y-intercept is the point [tex](0,2)[/tex]
therefore
The graph in the attached figure
