Thursday

July 31, 2014

July 31, 2014

Posted by **MYA** on Wednesday, September 5, 2012 at 8:31pm.

x^2(8+x)(x-5)/ (x+5)(x-2)> or equal too 0

this looks like a fraction

please show work

- college alg -
**Reiny**, Wednesday, September 5, 2012 at 9:01pmcritical values:

x=0 , x=-8, x=5, x=-5 and x=2

So want to see where the graph of

y = x^2(8+x)(x-5)/ ((x+5)(x-2)) lies above or on the x-axis

investigate the following domains

1. x < -8

2. x between -8 and -5

3. x between -5 and 0

4. x between 0 and 2

5. x between 2 and 5

6. x > 5

You don't actually have to work out the calculations, all you care about is whether the answer is + or -

I will do 5.

a number between 2 and 5, I pick x = 4

then

(+)(+)(-)/((+)(+)) ≥ 0 ?? , no,

so x between 2 and 5 is not a solution

You can do the others the same way

I also graphed y = x^2(8+x)(x-5)/((x+5)(x-2))

http://www.wolframalpha.com/input/?i=y+%3D+x%5E2%288%2Bx%29%28x-5%29%2F%28%28x%2B5%29%28x-2%29%29

which confirmed that

x<-8 OR -5 < x < 2 OR x > 5

- college alg -
**MYA**, Wednesday, September 5, 2012 at 9:11pmthe answer has to be in interval notation, so how would that look?

- college alg -
**Reiny**, Wednesday, September 5, 2012 at 10:14pmI am not a big fan of "interval notation"

Back in the dark ages when I taught we used the above notation, which is much more specific

Here is a page that shows "interval notation", look about half way down the page.

It should be quite easy to convert my answer to what you need.

http://www.regentsprep.org/Regents/math/ALGEBRA/AP1/IntervalNot.htm

- college alg -
**For Reiny**, Wednesday, September 5, 2012 at 11:11pmthank you I didnt see this post after you posted that!!! you are truly a life saver!!

**Related Questions**

alg - solve the following inequality x^2(8+x)(x-5)/(x+5)(x-2)>/=0 please show...

college alg - solve the following logarithm equation log (4x+7)=1+log(x-6) x=? ...

calculus - solve the following inequality. write your solution in interval ...

college algebra - solve the following inequality. write the answer in interval ...

college alg - for the given functions f and g find the following and state the ...

math - Ex 3: 4x-7<2x+5 4x-7-2x<2x-2x+5 2x-7<5 2x-7+7<5+7 2x<12 2x...

calculus - solve the inequality algebraically 7x-6 less than or equal to 3x^2 ...

math,algebra II - I have to work with these types of problems dealing with ...

math - 2. Simplify. Please be sure to show all of your work. -3(-9) – |-5 – 3 3...

college algebra - Solve the following inequality. x^3+9x^2-108 less or equal to ...