1. The problem is to graph the linear inequality $y \geq 10 - x$. 2. First, we graph the boundary line $y = 10 - x$. This is a straight line with slope $-1$ and y-intercept $10$. 3. To graph the line, find two points: - When $x=0$, $y=10-0=10$ (point $(0,10)$). - When $y=0$, solve $0=10-x$ which gives $x=10$ (point $(10,0)$). 4. Draw a solid line through points $(0,10)$ and $(10,0)$ because the inequality includes equality ($\geq$). 5. The inequality $y \geq 10 - x$ means the solution includes all points on or above the line. 6. Shade the region above the line to represent all solutions. Final answer: The graph is the solid line $y=10-x$ with shading above it.