Question

( x-1 ) (xˆ2 - 2) > 0

Answer 1

(x-1).(x²-2) > 0
raízes:
f(x) = x-1 = 0 --> x = 1
g(x) = x²-2 = 0 --> x² = 2 --> x = +/- \/2

quadro de sinais:

------------(-\/2)---------(1)---------(\/2)------
f(x)...( -)............( -)...........(+)............(+)..
g(x)..(+)............( -)...........( -)............(+)..
P......( -)............(+)...........( -)............(+)..
S: {x ¢ R | -\/2<x<1 e 1<x<\/2}