Question

Solve the inequality. Write solution in interval notation.

x^3-49x≤0

Answer 1

Can you solve the equation x^3-49x=0?

Answer 2

Im awful at math.. im so lost

Answer 3

Ok. Well do you know how to solve the equation: \[x^3-49x=0\]
I'm not asking you to look at the inequality just yet.
But before you solve this type of inequality you must be able to solve equalities like the one I'm asking you solve.
In order to solve this equality you must know how to factor.
Do you know how to factor x^3-49x?

Answer 4

no....

Answer 5

Do you know what x^3 and 49x have in common (as far as factors)?

Answer 6

the x?

Answer 7

yep
so you can factor the x.
So how do you factor x^3-49x?

Answer 8

i will give you a hint

what goes inside the parenthesis?