Question

Помогите срочно. Решить неравенство.
1)5^x-1<1/√5


2) (2/5)^x+1 < 1

Answer 1

$5^{x-1} textless frac{1}{ sqrt{5}} \ 5^{x-1} textless 5^{-frac{1}{2}} \ 5 textgreater 1 \ x-1 textless -frac{1}{2} \ x textless frac{1}{2} \ \ ( frac{2}{5})^{x+1} textless 1 \( frac{2}{5})^{x+1} textless ( frac{2}{5})^0 \ 0 textless frac{2}{5} textless 1 \ x+1 textgreater 0 \ x textgreater -1$