Answer:
x ∈ (-oo ; - 1) ∪ (+ 2 ; +oo)
Step-by-step explanation:
[tex]\frac{x+1}{x-2}>0\\ \\x+1>0=>x>-1\\\\x-2>0=>x>2[/tex]
x ∈ (+ 2 ; +oo)
[tex]x+1<0=>x<-1\\\\x-2<0=>x<2[/tex]
x ∈ (-oo ; - 1)