1) 4^(x+2) > 33*2^(x) -2
(2²)^(x+2) > 33*2^(x) -2
2^(2x) * 2⁴>33*2^(x) - 2
Пусть 2^(x)=y
16y²>33y-2
16y²-33y+2>0
16y²-33y+2=0
D=33²-4*16*2=1089-128=961
y₁=33-31= 1/16
32
y₂=33+31=2
32
+ - +
----------- 1/16 ------------ 2 -----------------
\\\\\\\\\\\ \\\\\\\\\\\\\\\
{y<1/16<br>{y>2
{2^(x)<1/16<br>{2^(x)>2
{2^(x)<2⁻⁴<br>{2^(x)>2¹
{x<-4<br>{x>1
x∈(-∞; -4)U(1; +∞)