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