Answer
Please see the graph.
Work Step by Step
Orange graph: $ y\gt x^2$
Blue graph: $ y\ge2x+1$
$y\gt x^2$
This is a parabola with a vertex at the origin. We pick the point $(2,2)$ to determine what side of the graph to shade.
$y\gt x^2$
$2\gt 2^2$
$2\gt 4$ (false)
We shade the side of the graph without the point.
$y\ge 2x+1$
This is a line with slope of 2 and y-intercept 1. We pick the point $(2,2)$ to determine what side of the graph to shade.
$y\ge 2x+1$
$2 \ge 2*2+1$
$2\ge 4+1$
$2 \ge 5$ (false)
We shade the side of the graph without the point.
The intersection of the two graphs is the solution set of the system of inequalities.
