nerd1234 nerd1234

22-04-2020
Mathematics

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How do I solve this?

x+1/x-2 > 0

Respuesta :

Аноним Аноним

22-04-2020

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)

x ∈ (-oo ; - 1) ∪ (+ 2 ; +oo)

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