The other system of inequalities are y ≥ -2x and y ≤ 3
How to determine the other system of inequalities
From the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
One of the inequalities is y ≥ 3x - 2
On the graph, we have a horizontal line that passed through y = 3 with a closed line and the lower region shaded
This can be represented as
y ≤ 3
The expression y ≥ 3x - 2 has a positive slope
So, the other inequality is the one with the negative slope
A linear relation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx
Using the point (-1, 2), we have
-1m =2
m =-2
So, we have
y = -2x
The shaded region is to the right and the line is closed
So, we have
y ≥ -2x
Hence, the other system of inequalities are y ≥ -2x and y ≤ 3