Solving Rational Inequalities
Try these problems. Use both methods to confirm which intervals are solutions to the equations. Express answers in interval notation.
- \(\dfrac{2}{x-5} > \dfrac{1}{x+4}\)
Hint: Group fractions on one side of the inequality sign and variables and integers on the other side.
- \(\dfrac{x-8}{x}+x-3\leq{0}\)
- \(\dfrac{2x}{x+1}-3\geq{0}\)