text: 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
explanation: The text extract contains a math question and a detailed answer provided by two different individuals. The question is about solving a rational inequality and expressing the solution in interval notation, along with a number line or graph. The answer includes a step-by-step solution and a reference to a graphing tool.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract contains a math question and a detailed answer provided by two different individuals. The question is about solving a rational inequality and expressing the solution in interval notation, along with a number line or graph. The answer includes a step-by-step solution and a reference to a graphing tool.
  
  Label: question-and-answer