a) [tex]( \frac{5}{22}) ^{4} *x-5 \leq 4.4 [/tex]
[tex] \frac{ 5^{4} }{ 22^{4} }*x-5 \leq \frac{22}{5} [/tex]
[tex] \frac{ 5^{4}x }{ 22^{4} }-5 \leq \frac{22}{5}[/tex]
[tex] \frac{ 625x }{ 22^{4} }-5 \leq \frac{22}{5}[/tex]
[tex]5* 22^{4}* \frac{625x}{ 22^{4} }-5* 22^{4}*5 \leq 5*22^{4}* \frac{22}{5} [/tex]
[tex]5*625x-25*22^{4} \leq22^{4}*22 [/tex]
[tex]3125x-25*22^{4} \leq 22^{5}[/tex]
[tex]3125x \leq 22^{5}+25*22^{4} [/tex]
[tex]3125x \leq (22+25)*22^{4} [/tex]
[tex]3125x \leq 47*22^{4} [/tex]
[tex]3125x:3125 \leq 47*22^{4}:3125[/tex]
[tex]x \leq \frac{47*22^{4}}{3125} [/tex] ≈ x≤3523.21024
b) ?
