Answer:
[tex]y\leq -1 \text{ and }y<-\frac{1}{2}x[/tex] are system of inequalities is represented by the graph.
Step-by-step explanation:
We are given four option and need to choose correct inequality for given graph.
In graph, we can see two line
Red line: It is horizontal solid line passing through (0,-1) and shaded region above the line.
Equation of line: y≥-1
Blue line: It is slant dotted line passing through origin and (-2,1)
Equation of line: [tex]y<-\frac{1}{2}x[/tex]
System of inequalities represented by the graph.
[tex]y\leq -1 \text{ and }y<-\frac{1}{2}x[/tex]
Thus, [tex]y\leq -1 \text{ and }y<-\frac{1}{2}x[/tex] are system of inequalities is represented by the graph.
