Zadanie 1
a)
5^{x-5} < (\frac{1}{5})^{2x+3}
5^{x-5}<5^{-(2x+3)}
x-5<-2x-3
x+2x<5-3
3x<2
x<\frac{2}{3}
x\in (-\infty;\frac{2}{3})
b)
(\frac{1}{4})^{3-x} \geq 4^{2x-1}
4^{-(3-x)}\geq 4^{2x-1}
-(3-x)\geq2x-1
x-3\geq2x-1
x-2x\geq3-1
-x\geq2|*(-1)
x\leq-2
x\in (-\infty;-2\rangle