Answer:
The linear inequality that can represent the graph is;
[tex]y>2x-3[/tex]
Explanation:
To get the inequality represented on the graph, let us firstly find the equation of the broken line;
Recall that the equation of a line can be represented by the equation;
[tex]y=mx+c[/tex]
Where;
m = slope
c = y-intercept
From the graph;
The y-intercept of the line is at y=-3
[tex]c=-3[/tex]
The slope of the line is;
[tex]\begin{gathered} m=\frac{\text{rise}}{\text{run}}=\frac{4}{2} \\ m=2 \end{gathered}[/tex]
so, the equation of the line is;
[tex]y=2x-3[/tex]
We can see on the graph that the shaded part is above the line and also the line is a broken line.
Therefore, the linear inequality that can represent the graph is;
[tex]y>2x-3[/tex]
