Answer:
For dotted line y < -3x + 1.
For solid line : y ≥ [tex]\frac{1x}{2}-1[/tex].
Step-by-step explanation:
Given : Graph.
To find: What system of linear inequalities,
Solution: We have given a graph.
We can see the graph having two line one is dotted and another is solid line.
By the slope intercept form of equation : y = mx + b
Where, m = slope
b ( where the line intercept at y axis) = y intercept.
For dotted line : we use the less than sign for dotted line and shaded down.
We can see slope of dotted line is -3 and it cut at 1 on y axis.
m = -3 , b = 1
Then equation become
y < -3x + 1.
For solid line :
we use the greater than or equal to sign for solid line and shaded up.
We can see slope of dotted line is 1/2 and it cut at -1 on y axis.
m = -3 , b = 1
Then equation become
y ≥ [tex]\frac{1x}{2}-1[/tex].
Therefore, For dotted line y < -3x + 1.
For solid line : y ≥ [tex]\frac{1x}{2}-1[/tex].
