The graph of the inequality is in the image at the end.
How to graph the quadratic inequality?
We have the inequality:
y > x² - 3x + 5
To graph this, we first need to graph the parabola:
y = x² - 3x + 5
Because the symbol used was >, we need to graph this parabola with a dashed line. We use a dashed line because the points in the parabola itself aren't solutions.
Then, y is larger than the parabola, then we need to shade all the region above the parabola. That shaded region will be the solution set.