Solving Rational Inequalities on a Graphing Calculator

Navigating the complexities of rational inequalities is a mathematical challenge that often demands precision and efficiency. In this context, the utilization of a graphing calculator emerges as a valuable tool, streamlining the process of solving and visualizing solutions. This introduction explores the intersection of rational inequalities and graphing technology, unveiling the practicality and effectiveness of employing a graphing calculator as a strategic ally in deciphering and understanding the nuanced relationships within this mathematical domain.

Questions
  • How do you solve #\frac { 1} { 3y - 3} + \frac { 1} { 4y - 4} = 1#?
  • How do you solve the inequality #5+1/x>16/x#?
  • How do you solve the inequality #(x^2-16)/(x^2-4x-5)>=0#?
  • How do you solve the inequality: #|x^2-9x+15|>1 #?
  • How do you solve rational inequalities?
  • How do you solve #(x(x-4))/(2-3x)<= 3#?
  • What is #(g@f)(40)# when #f(x) = (x-4)/6# and #g(x) = 4x+6#?
  • How do you solve #4/(x-8)>0#?
  • How do you solve #x^2/(x^2+x)>=0#?
  • How do I solve the rational inequality #(x+10)/(3x-2)<=3# using a TI-84?
  • How do I solve the rational inequality #(x+2)/(2x+1)>5# using a TI-84?
  • How do you solve the inequality #(x^2-2x-24)/(x^2-8x-20)>=0#?
  • How do you solve the inequality #x^3-x^2-6x>0#?
  • How do you solve #(16-x^2)/(x^2-9)>=0#?
  • How do you solve #(2y^2+3y-20)/(y^3-y^2)>0#?
  • For #i=sqrt(-1)# is the sum of #(7+3i) + (-8+9i)#?
  • How do you solve #((x+7)(x-3))/(x-1)>=0#?
  • How do I solve the rational inequality #(x^2-x-6)/(x+2)<=-3# using a TI-83?
  • How do I solve the rational inequality #(x-4)/(x+5)<4# using a TI-84?
  • How do you solve #x/(x^2 - 16)>0#?