dylan7335
dylan7335 dylan7335
  • 16-01-2021
  • Mathematics
contestada

How would the intervals of the solution set differ between a polynomial inequality and a rational inequality?​

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Dezrayy17
Dezrayy17 Dezrayy17
  • 16-01-2021

Answer:

Two differences: A polynomial inequality (PI) can always be replaced by a PI with one side zero. A rational inequality (RI) can not, because you do not know the sign of the denominator; a(x)b(x)>c(x)d(x) can not safely be replaced by a(x)d(x)−b(x)c(x)b(x)d(x)>0 because b(x) and/or d(x) might change signs unexpectedly.

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