Объяснение:
а)
{-2х+12>3х-3
{7х-6<=4х+12
{-2х-3х> - 3-12
{7х-4х<=12+6
{-5х> - 15
{3х<=18
{Х< - 15:(-5)
{Х<=18:3
{Х<3
{Х<=6
Х€(-бесконечности ; 3)
б)
{3х-2(х-7)<=3(х+1)
{(х-5)(х+5)<=(х-3)^2+2
{3х-2х+14<=3х+3
{Х^2-25<=х^2-6х+9+2
{Х-3х<=3-14
{6х<=11+25
{-2х<= - 11
{6х<=36
{Х>= - 11:(-2)
{Х<=36:6
{Х>=5,5
Ответ : х€[5,5 ;6]
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Answers & Comments
Объяснение:
а)
{-2х+12>3х-3
{7х-6<=4х+12
{-2х-3х> - 3-12
{7х-4х<=12+6
{-5х> - 15
{3х<=18
{Х< - 15:(-5)
{Х<=18:3
{Х<3
{Х<=6
Х€(-бесконечности ; 3)
б)
{3х-2(х-7)<=3(х+1)
{(х-5)(х+5)<=(х-3)^2+2
{3х-2х+14<=3х+3
{Х^2-25<=х^2-6х+9+2
{Х-3х<=3-14
{6х<=11+25
{-2х<= - 11
{6х<=36
{Х>= - 11:(-2)
{Х<=36:6
{Х>=5,5
{Х<=6
Ответ : х€[5,5 ;6]