ОДЗ х>0 , x-1>0 x>1⇒ <span>x>1
</span>㏒₂(x)+ ㏒₂(x-1) ≤1
㏒₂(x*(x-1)) ≤ 1
㏒₂(x²-x)≤1
x²-x ≤ 2¹
x²-x-2≤0
x²-x-2=0
D=1+8=9 √D=3
x₁=(1+3)/2=2
x₂=(1-3)/2=-1 не подходит под ОДЗ
- +
---1---2---------------
х∈(1;2]
11+4х > 2х -7
2х > -18
х > -9
5 - 4х =< 7х - 5
0 =< 11х
х >= 0
14 +2(-х+7) =< 24 - 3(х-1)
14 + 14 - 2х =< 24+3 - 3х
28 - 2х =< 27 - 3х
1 <= -х
х >= 1
|х| + 7 <= 10
|х| <= 3
-3 < х < 3
Sin135°=sin(90°+45°)=cos45°=√2/2
cos210°=cos(180°+30°)= -cos30°= -√3/2
tg240°=tg(180°+60°)=tg60°=√3
ctg300°=ctg(270°+30°)= -tg30°= -√3/3
√2/2*(-√3/2)*(-3)=3√6/4