Answer
Refer to the graph below.
The region marked "X" is not part of the solution to the given system.
Work Step by Step
Graph each inequality.
To graph $2x+5y\ge 10$, graph the line $2x+5y=10$ using a solid line then shade region above it. (Refer to the blue graph below.)
To graph $y\ge x^2+1$, graph $y=x^2+1$ and shade the region above the the curve.
Refer to the red graph below.
The solution to the given system is the region that is common to both graph.
This region is the one on and above the parabola $y=x^2+1$.
Refer to the graph in the answer part above,
