Question

решите неравенство х²-6х+8 меньше 0

Answer 1

${x}^{2} - 6x + 8 < 0 \ {x}^{2} - 2x - 4x + 8 < 0 \ x times (x - 2) - 4(x - 2) < 0 \ (x - 2) times (x - 4) < 0$

{ x - 2 <0
{ x - 4 >0
{ x - 2 >0
{ x - 4 < 0

{ x < 2
{ x > 4
{ x >2
{x < 4

x∈∅
x∈ (2; 4]