algebra

posted by .

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 -

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 -

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
The text passage contains a mathematical question in the form of an algebraic inequality to solve, and it also includes a detailed solution and explanation. The solution is provided in the form of a step-by-step guide and a reference to a graphing tool.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
algebra

posted by .

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 -

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 -

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
user
The text passage contains a mathematical question in the form of an algebraic inequality to solve, and it also includes a detailed solution and explanation. The solution is provided in the form of a step-by-step guide and a reference to a graphing tool.

TYPE: SINGLE_QUESTION_WITH_ANSWER