Answer:
For dotted line y > 2x- 3
For solid line y ≥ - 1/2 x +2.
Step-by-step explanation:
Given : Graph.
To find : What system of linear inequalities is shown in the graph.
Solution: We have given graph
For dotted line : We can see from the graph line is shaded up.
On comparing slope intercept form : y = mx + b
Where m = slope , b = y intercept.
Slope for dotted line is 2 then Greater sign for shaded up and y intercept is -3.
y > 2x -3.
For solid line: slope = - 1/2 and greater than equal to sign for shaded up solid line , solid line cut at y axis at 2 so y intercept is 2.
Then equation become y ≥ -1/2 x +2.
Therefore, For dotted line y > 2x- 3
For solid line y ≥ - 1/2 x +2.
