I won't be able to graph for you because I am currently on phone but I will tell how to graph an Inequality in coordinate plane.
[tex] {x}^{2} + 4 < 0[/tex]
We don't need to solve the Inequality. The graph will do.
We draw the parabola with the vertex at (0,4) Basically plot point (0,4) then draw parabola.
Because it is < sign, thus the shade/region will be below the graph.
So the shade will be outside of the curve and not inside.