A)6+x>4x-3(2-3)
6+x>4x-6+9
x-4x>-6-6+9
-3x>-3
x>1
б)3x^2-4x+1x<0
9x-4x+1<0
9x-4x<-1+0
5x<-1
x>-5
(9/4)^x≤8\27,
(3\2)^2x≤(2\3)³
(3\2)^2x≤(3\2)-³,
2x≤-3,
x≤-3\2,
x≤-1,5,
x∈(-∞;-1,5]
Ответ: (-∞;-1,5]
A). sinx+√3cosx=0 |:cosx≠0
tgx+√3=0, tgx=-√3
x=arctg(-√3)+πn, n∈Z
x=-π/3+πn, n∈Z
б). sin²x+2sinx*cosx-3cos²x=0 |: cos²x≠0
tg²x+2tgx-3=0, tgx=y
y²+2y-3=0
y₁=-3, tgx=-3, x₁=-arctg3+πn, n∈Z
y₂=1, tgx=1, x₂=π/4+πn, n∈Z
в). sin²x-4sinx*cosx+3cos²x=0 |: cos²x≠0
tg²x-4tgx+3=0, tgx=y
y²-4y+3=0
y₁=1, tgx=1, x₁=π/4+πn, n∈Z
y₂=3, tgx=3, x₂=arctg3+πn, n∈Z
(4x+8)-(2x+5)=12
2x+3=12
2x=9
x=4.5