Answer:
The graph in the attached figure
Step-by-step explanation:
we have
x+2y > 4x+2y>4
we know that
The solution of the inequality is the shaded area above the dashed line
The equation of the line is
x+2y = 4x+2y=4
Find the x-intercept
For y=0y=0
x+2*0 = 4x+2∗0=4
x=4x=4
The x-intercept is the point (4,0)(4,0)
Find the y-intercept
For x=0x=0
0+2y = 40+2y=4
2y=42y=4
y=2y=2
The y-intercept is the point (0,2)(0,2)
therefore
The graph in the attached figure
