Solving	rational	inequalities	worksheet	with	answers	pdf
                                                                                                               	
  Example	of	solving	rational	inequalities.	
  Page	ID45011	A:	ConceptsB:	Solving	Polynomial	InequalitiesC:	Solving	Rational	Inequalities	A:	Concept	Problems	\(\PageIndex{A}\)	1.	Does	the	sign	diagram	always	change	for	a	given	polynomial	or	rational	function?	Explain	and	illustrate	your	answer	with	several	examples.	2.	Write	your	steps	for	solving	a	rational	inequality	and	illustrate	them	with
  an	example.	Or	do	your	steps	for	polynomial	inequality	work?	Explain.	Answer	1:	Answer	1	may	vary.	Exercise	\(\PageIndex{B}\)	\(\bigstar\)	Solve	each	polynomial	inequality	and	solve	the	solution	set	on	the	real	number	line.	Express	each	solution	set	in	interval	notation.	3.	\(x(x+1)(x-3)	\geq	0\)	4.	\(x(x-1)	(x+4)	\geq	0\)	5.	\((x+2)(	x-5)^{2}0\)	17.	\
  (x^{3	)	}	+2	x^{2}-24	x	\geq	0\)	18.	\(x^{3}-3	x^{2}-18	x	\leq	0\)	19.	\(4	x^{3	}	-	22	x^{2}-12	x0\)	21.	\(12	x^{4}+	44	x	^{3}>80	x^{2}\)	22.	\(6	x^{4}+12	x^{3}3	x^{2	}+4	\	)	28.	\(4	x^{4}0\)	32	.\(3	x^{3}+5	x^{2}+12	x+20