Posted by **james** on Saturday, March 29, 2014 at 2:54pm.

Solve the following rational inequality. Write the solution in interval notation. Show the number line and breaking points or graph of the polynomial with the part of the graph that is the solution (x-4)(x+2)/(x-3)(x+5) ¡Ü 0

- algebra -
**Reiny**, Saturday, March 29, 2014 at 4:43pm
James, I gave you a detailed solution yesterday for the same question on the assumption that your symbol was supposed to be ≥

You later told me that it was to be ≤

So why don't you just switch all the conditions

e.g. all the domain that worked before, now will not

and the domain that did not work, now will

you could also follow my Wolfram link and change the ≥ to ≤ , which will reflect the graph in the x-axis.

I am sure you can do that.

http://www.jiskha.com/display.cgi?id=1396018412

- algebra -
**Steve**, Saturday, March 29, 2014 at 4:48pm
I can't make out the inequality sign, but that really makes no difference to the solution

y = (x-4)(x+2)/(x-3)(x+5)

You know there are roots at -2 and 4, and asymptotes at -5 and 3.

So, the graph will cross the x-axis at -2 and 4.

When x < -5, all factors are negative, so y > 0 : --/-- = +

for -5 < x < -2, --/-+ = -

for -2 < x < 3, -+/-+ = +

for 3 < x < 4, -+/++ = -

for x > 4, ++/++ = +

To verify this, check the graph at

http://www.wolframalpha.com/input/?i=%28%28x-4%29%28x%2B2%29%29%2F%28%28x-3%29%28x%2B5%29%29+for+x+%3D+-7..5

## Answer this Question

## Related Questions

- algebra - Solve the following rational inequality. Write the solution in ...
- math - solve the polynomial inequality and graph the solution set on a real ...
- Solve the polynomial inequality - Solve the polynomial inequality and graph the ...
- college algebra - 1. find the equation of the line with the given properties. ...
- algebra - solve the inequality. Express the solution using interval notation and...
- math-please help,need quickly - solve the polynomial inequality and graph the ...
- Math inequalitites - Hi, I need some help with some inequalitites. Thanks!! Use ...
- Algebra II - I need some help with some problems as well as need some checked. ...
- algebra URGENT HELP - analyze the graph of the following function solve R(x)=x(x...
- math - solve the polynomial inequality and graph the solution set on a real ...