Question

Folosind metoda intervalelor,rezolvati in R inecuatia: x(x+2)<0;

Answer 1

Răspuns:

x ∈ (-2 ; 0)

Explicație pas cu pas:

x(x+2)<0

x = 0   ; x+2 = 0 => x = -2

     x  I -∞                    -2          0                   +∞

__________________________________

     x  I---------------------------------0++++++++++++

  x+2 I----------------------0+++++++++++++++++++

x(x+2) I+++++++++++++0---------0++++++++++++

=> x ∈ (-2 ; 0)