Algebra
posted by Jackie C on .
Solve each inequality algebraically:how do I solve this problem? What is the answer? Show the work.
x+4/x2 less than equal 1 thanks for your help

(x+4)/(x2) <= 1
If x2>0, then
x+4 <= x2
4 < 2
no solutions there
If x2 < 0,
x+4 >= x2
4 >= 2
so all x's are a solution. But our condition was that x2 < 0, so
x < 2
Makes sense, since there is a horizontal asymptote at y = 1 and a vertical asymptote at x = 2 
6 is less than equal 0