Question

solve the following inequality 9x-80>9/x

Answer 1

x>9

Answer 2

oh hold the phone
missing a piece

Answer 3

need to solve
\[9x-80>\frac{9}{x}\]
\[9x-80-\frac{9}{x}>0\]
\[\frac{(x-9)(9x+1)}{x}>0\] critical points are at -1/9, 0, 9

Answer 4

solution is
\[-\frac{1}{9}<x<0, x>9\] two intevals

Answer 5

@Luis Rivera
you cannot multiply by x, because you do not know whether x is positive or negative

Answer 6

so you don't know whether to keep the inequality or switch it. you have to put everything on one side of the inequality and make it > 0