Answer:
The solution of the inequalities lies in 4th quadrant.
Step-by-step explanation:
Given : Equation [tex]y\geq -2[/tex] and [tex]y\leq -|x-3|[/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 -2[/tex] passes through (0,-2) straight line on x-axis.
Check the region by putting y=0
[tex]0\geq -2[/tex]
True the region is towards origin.
Equation 2 - [tex]y\leq -|x-3|[/tex] passes through (3,0) and (0,-3)
Check the region by putting x=0 and y=0
[tex]0\leq -|0-3|[/tex]
[tex]0\leq -3[/tex]
False the region is away from origin.
Refer the attached figure blow.
The solution of the inequalities lies in 4th quadrant.
