6/х-2 - 1/х<0,х≠2,х≠0
6х-(х-2)/х*(х-2) < 0
6х-(х-2)/х*(х+2) < 0
5х+2/х*(х-2)<0
{5х+2<0
{х*(х-2)>0
{5х+2>0
{х*(х-2)<0
{х<-2/5
{х∈(-∞,-2/5)U (2,+∞)
{x>-2/5
{x∈ (0,2)
х∈(-∞,-2/5)
x∈ (0,2)
х∈(-∞,-2/5) U(0,2),x≠2,x≠0
ответ: х∈(-∞,-2/5) U(0,2)
6/х-2 - 1/х<0,х≠2,х≠0
6х-(х-2)/х*(х-2) < 0
6х-(х-2)/х*(х+2) < 0
5х+2/х*(х-2)<0
{5х+2<0
{х*(х-2)>0
{5х+2>0
{х*(х-2)<0
{х<-2/5
{х∈(-∞,-2/5)U (2,+∞)
{x>-2/5
{x∈ (0,2)
х∈(-∞,-2/5)
x∈ (0,2)
х∈(-∞,-2/5) U(0,2),x≠2,x≠0
ответ: х∈(-∞,-2/5) U(0,2)