RATL 3 | Lesson 2 | Practice (Solving Rational Inequalities)

Solving Rational Inequalities

Try these problems. Use both methods to confirm which intervals are solutions to the equations. Express answers in interval notation.

  1. \(\dfrac{2}{x-5} > \dfrac{1}{x+4}\)

Hint: Group fractions on one side of the inequality sign and variables and integers on the other side.

  1. \(\dfrac{x-8}{x}+x-3\leq{0}\)
  2. \(\dfrac{2x}{x+1}-3\geq{0}\)

Check solutions here.

Go onto Lesson 3: Zeros and Asymptotes of Rational Functions