Answer:
Option 2 - Refer the attached figure.
Step-by-step explanation:
Given : Equation [tex]y\geq 2x-4[/tex] and [tex]2x-y\geq -4[/tex]
To find : Graph the solution for the following linear inequality system?
Solution :
We have to plot the given equation,
Equation 1 - [tex]y\geq 2x-4[/tex] passes through (2,0) and (0,-4)
Check the region by putting x=0 and y=0
[tex]0\geq 2(0)-4[/tex]
[tex]0\geq -4[/tex]
True the region is towards origin.
Equation 2 - [tex]2x-y\geq -4[/tex] passes through (-2,0) and (0,4)
Check the region by putting x=0 and y=0
[tex]2(0)-0\geq -4[/tex]
[tex]0\geq -4[/tex]
True the region is towards origin.
Since, The inequality is greater than equal to so it form a solid line.
Therefore, The best graph shows the inequality is option 4.
Refer the attached figure for correct solution.
