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

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

a) \(\Large \frac{2}{x-5} \normalsize> \Large \frac{1}{x+4}\)

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

b) \(\Large \frac{x-8}{x} \normalsize +x-3\leq{0}\)

c) \(\Large \frac{2x}{x+1}\normalsize-3\geq{0}\)

Check solutions here.

Go onto Lesson 3: Zeros and Asymptotes of Rational Functions