Question

Решить неравенство: 2^(x-15)<(1/2)^2x

Answer 1

2^(x-15)<2^(-2x)
x-15<-2x
x+2x<15
3x<15
x<5
x∈(-∞;5)

Answer 2

$2^{x-15}\ \textless \ (\frac{1}{2} )^{2x}\\2^{x-15}\ \textless \ 2^{-2x}\\x-15\ \textless \ -2x\\x+2x\ \textless \ 15\\3x\ \textless \ 15\\\boxed{x\ \textless \ 5}$