Question

Помогите пожалуйста !

Answer 1

$(\frac{1}{2})^{x-2} -(\frac{1}{2} )^{x} \leq3\\\\(\frac{1}{2})^{x}*(\frac{1}{2})^{-2}-(\frac{1}{2} )^{x} \leq3\\\\(\frac{1}{2})^{x}*4-(\frac{1}{2} )^{x} \leq3\\\\3(\frac{1}{2})^{x} \leq3\\\\(\frac{1}{2})^{x} \leq1\\\\(\frac{1}{2})^{x}\leq (\frac{1}{2})^{0}\\\\0<\frac{1}{2}<1\Rightarrow x\geq 0\\\\Otvet:\boxed{x\in[0;+\infty)}$