Question

frac{1}{2} ^{x-2} > frac{1}{8}

 

Answer 1

$(frac{1}{2})^{x-2} > frac{1}{8};\ (frac{1}{2})^{x-2} > (frac{1}{2})^3;\ frac{1}{2}<1;\ x-2<3;\ x<3+2;\ x<5;$

х є $(-infty; 5)$

ответ: $(-infty; 5)$