Given that:
y < x² + 2
y > x² - 6
Using the graphing technology:
The vertex of first equation will be: (0,2)
As, y is less than the quadratic equation, the outer portion of the parabola will be shaded and the parabola's boundary will be dotted line.
Similarly,
the second equation will vertex, (0,-6), will be a dotted parabola and the inner part of the parabola will be shaded.
Solution to the set of equations will be the common shaded region as shown in the graph attached. There is no common point which intersects both the equations.