solve quadratic inequality: x^2<-4

Question

Solve each quadratic inequality by locating the x-intercept (if they exist), and noting the end behavior of the graph. Begin by writing the inequality in function form as needed

Answer 1

x^2 < -4 has no real solution

x^2 is always > 0 never less than 0, never less than -4

square any real number and the result is always non-negative, either positive or zero

but you could solve the inequality for imaginary solutions

x^2 < -4

-sqr(-4) < x < sqr(-4)

-2i < x < 2i