А) 1/9 х -12х²≤0
х-108х²≤0
х(1-108х)≤0
х=⟨-∞,0] Ω [1/108,+∞⟩
Б) 2х+7<2х²
2х+7-2х²<0
-2х²+2х+7<0
-2х²+2х+7=0
х=1+√15/2
х=1-√15/2
х=⟨-∞, 1-√15/2⟩ Ω ⟨ 1+√15/2,+∞⟩
В)(4х-1)(4х+1)-(4х+2)²≥0
16х²-1-(16х²+16х-4)≥0
16х²-1-16х²-16х-4≥0
-5-16х≥0
-16х≥15
х=-5/16
х=⟨-∞,-5/16]
Г)(х-2)²>1,44
|х-2|>√1,44
|х-2|>√36/25
|х-2|>6/5
х-2>6/5,х-2≥0
-(х-2)>6/5,х-2<0
х=⟨-∞,4/5⟩ Ω ⟨16/5,+∞⟩
Д) 2х²+4≤12
х²+2≤6
х²≤6-2
х²≤4
|4|≤2
х=[0,2]
х≥-2,х<0
х=[-2,0]
х=[-2,2]
А) 1/9 х -12х²≤0
х-108х²≤0
х(1-108х)≤0
х=⟨-∞,0] Ω [1/108,+∞⟩
Б) 2х+7<2х²
2х+7-2х²<0
-2х²+2х+7<0
-2х²+2х+7=0
х=1+√15/2
х=1-√15/2
х=⟨-∞, 1-√15/2⟩ Ω ⟨ 1+√15/2,+∞⟩
В)(4х-1)(4х+1)-(4х+2)²≥0
16х²-1-(16х²+16х-4)≥0
16х²-1-16х²-16х-4≥0
-5-16х≥0
-16х≥15
х=-5/16
х=⟨-∞,-5/16]
Г)(х-2)²>1,44
|х-2|>√1,44
|х-2|>√36/25
|х-2|>6/5
х-2>6/5,х-2≥0
-(х-2)>6/5,х-2<0
х=⟨-∞,4/5⟩ Ω ⟨16/5,+∞⟩
Д) 2х²+4≤12
х²+2≤6
х²≤6-2
х²≤4
|4|≤2
х=[0,2]
х≥-2,х<0
х=[0,2]
х=[-2,0]
х=[-2,2]