SOLUTION: Hello. I was hoping someone could please help me with a question that I do not know how to solve. My question has two parts and is as follows: Find and graph the solution set:

Question 327286: Hello. I was hoping someone could please help me with a question that I do not know how to solve.
My question has two parts and is as follows:
Find and graph the solution set:
A. x^3 - 16x > 0
B. x^2 - 5x <= -6
I don't know how to solve these questions because they are raised to different powers, so I don't know how to solve for x.
Also, could you please explain to me how I'd go about graphing these inequalities?
Thank you so much.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Solved earlier today
.
.
.

Break up the number line into 4 regions:
Region 1 : (,)
Region 2 : (,)
Region 3 : (,)
Region 4 : (,)
Choose a point in the region (not an endpoint).
Test the inequality.
If the inequality is satisfied, the region is part of the solution.
.
.
.
Region 1:

False, this region is not part of the solution.
.
.
.
Region 2:

True, this region is part of the solution.
.
.
.
Region 3:

False, this region is not part of the solution.
.
.
.
Region 4:

True, this region is part of the solution.
.
.
.
The solution region is (,) U (,).
.
.
.
Verified graphically
.
.
.

.
.
.
Similarly,

Break up the number line into 3 regions:
Region 1 : (,)
Region 2 : (,)
Region 3 : (,)
Choose a point in the region (not an endpoint).
Test the inequality.
If the inequality is satisfied, the region is part of the solution.
.
.
.
Region 1:

True, this region is part of the solution.
.
.
.
Region 1:

False, this region is not part of the solution.
.
.
.
Region 2:

True, this region is part of the solution.
.
.
.
Region 3:

False, this region is not part of the solution.
.
.
.
The solution region is [,].
Since the inequality includes the "=" the brackets denote that 2 and 3 are included as part of the solution.
.
.
.

RELATED QUESTIONS
Hi there, Could you please help me solve the following Exponential functions question? I (answered by vleith)

This is my last question that I just do not understand if someone could help me please.... (answered by jim_thompson5910)

Hello there I was just hoping that someone could help clarify how to solve this quadratic (answered by josgarithmetic)

Can you please help me with something? My question is how do i solve proportions? I've... (answered by Alan3354)

Hello there. I have been wondering how to do this question all day, you see algebra is... (answered by Boreal,MathTherapy)

Hello, I was hoping that you could help me with the following question. Solve... (answered by scott8148)

Hello, I was wondering if someone could help me with this math question: Write the... (answered by flame8855,scott8148)

Hello. I do not know if this fits into the right category but I tried my best. Ok so I... (answered by algebrapro18)

my question is: what is 2(44√3 / 3). if that is not clear enough, here it is... (answered by edjones)