The linear inequality that is represented by the graph is;
y ≤ ¹/₂x + 3
Inequality Graphs
The graph is missing and so I have attached it.
Let us pick coordinates of any 2 points on the boundary line.
Let us select (0,3) and (2,4).
Thus, to get the inequality equation, we will use the formula;
y - y₁ = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)
Plugging in the relevant values gives us;
y - 3 = ((4 - 3)/(2 - 0))(x - 0)
y - 3 = (1/2)x
y = ¹/₂x + 3
We also discover that the shaded area is below the boundary line and that the boundary line is thick. Thus, we will use less than or equal to symbol and we have;
y ≤ ¹/₂x + 3
Read more inequality graphs at; https://brainly.com/question/11234618
