SOLUTION: Would someone be able to help me with this problem? The solution to the inequality x^3-4x^2-x+4(<or=)0 is My answer options are: a.[1,4] b.(-infinity,-1]U[1,4] c.[4,infinity)

Question 124614This question is from textbook
: Would someone be able to help me with this problem?
The solution to the inequality x^3-4x^2-x+4( My answer options are:
a.[1,4]
b.(-infinity,-1]U[1,4]
c.[4,infinity)
d.[-1,1]U[4,infinity)
I thought the answer was a.,is this correct? Please help as soon as possible!!! This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The solution to the inequality x^3-4x^2-x+4( Factor to get:
(x+1)(x-1)(x-4)<=0
The zeroes are x = -1, x=1, x=4
Draw a number line; Plot those x-values.
Test a point in each of the resulting intervals to see where the solutions are.
-----------------------
If x=-2 you get: (-)(-)(-) < 0 ; true, solutions in (-inf,-1}
Since only "b" contains that information, check x=2
If x = 2 you get: (+)(+)(-) <0; true, solutions in [1,4]
-----------------
Ans: "b"
--------------------
Cheers,
Stan H.
------------------------
My answer options are:
a.[1,4]
b.(-infinity,-1]U[1,4]
c.[4,infinity)
d.[-1,1]U[4,infinity)
I thought the answer was a.,is this correct?

RELATED QUESTIONS
Hello, I just want to doublecheck my answers if someone can help me. Solve the... (answered by jim_thompson5910,Alan3354,edjones)

Professor I'm confused with this inequality problem. /x-2/≤0. The answer would be... (answered by solver91311)

I tried this and came up with the answer {{{3x^2}}}. The problem is {{{2x(3-x)+x^2}}}.... (answered by stanbon)

solve and graph the inequality. Can someone help me answer this? x+3/x less than or... (answered by rapaljer)

I have been working on this Rational inequality since Saturday morning and am still... (answered by venugopalramana)

How do I graph this inequality and what is the solution? y < 4x - 3 x - y _>_ -12... (answered by jim_thompson5910)

20/x+1 -( x/2) +1 is less than or equal to 0 Can someone help me with this one,... (answered by stanbon)

Can someone show me how to solve this problem and then how to siimplify my answer?... (answered by MathLover1)

Can someone please tell me what I did wrong, IF I did indeed do anything wrong? This... (answered by Alan3354,josmiceli)