which graph represents the solution to the given linear inequality? y≥x - 2

Explanation:

Step1: Identify the boundary line

The boundary line for the inequality $y\geq x - 2$ is $y=x - 2$. It has a slope of 1 and a y - intercept of - 2.

Step2: Determine the shading

Since the inequality is $y\geq x - 2$, we shade the region above the line $y=x - 2$.

Answer:

The graph that has a solid line (because the inequality includes equality, $\geq$) with a slope of 1 and y - intercept of - 2 and is shaded above the line represents the solution. Without seeing the exact details of each graph in a non - visual way, if we assume the standard way of graphing, we look for a graph with a line passing through points such as (0, - 2) and (2,0) and the area above this line shaded.