Answer:
The solution of the inequalities lies in 4th quadrant.
Step-by-step explanation:
Given : Equation \(y\geq -2\) and \(y\leq -|x-3|\)
To find : Graph the solution for the following linear inequality system?
Solution :
We have to plot the given equation,
Equation 1 - \(y\geq -2\) passes through (0,-2) straight line on x-axis.
Check the region by putting y=0
\(0\geq -2\)
True the region is towards origin.
Equation 2 - \(y\leq -|x-3|\) passes through (3,0) and (0,-3)
Check the region by putting x=0 and y=0
\(0\leq -|0-3|\)
\(0\leq -3\)
False the region is away from origin.
Refer the attached figure blow.
The solution of the inequalities lies in 4th quadrant.
