Polynomial and Rational Inequalities

Disclaimer: The material in the videos below comes mainly from outside City Tech. The presentation in these videos may differ from the one given in your class. Please consult with your instructor to confirm whether a particular approach is acceptable in your class.

  1. $\rhd$  Quadratic inequalities: a graphical approach (9:52) Solve $x^2+x-6>0$ and $-x^2-3x+28>0$.
  2. $\rhd$ Solve a polynomial inequality (7:00) Solve $x^2-2x-3\geq 0$
  3. $\rhd$ Rational inequalities: a graphical approach (10:45) Solve $\dfrac{x+3}{x-5}\geq 0$.
  4. $\rhd$ How to Solve and Graph Rational Inequalities (12:55) Solve $\dfrac{x-8}{2-x}\geq 5$
  5. $\rhd$ Solve a rational inequality (6:50) Solve $\dfrac{x+3}{x-4}\leq 0$