solve the the following inequality. write your solution in interval notation.

Question

x^3-49x<0
_ (I don't know how to make the sign on my computer)

Answer 1

x^3 - 49x < 0
x(x^2 - 49) < 0
x(x+7)(x-7) < 0

consider f(x) = x(x+7)(x-7)
the x-intercepts would be -7, 0, 7

Knowing the basic shape of a cubic, we have
x < -7 OR 0 < x < 7

I will let you write that in the interval notation that you learned.