0;\\\\5t^2+3t-2 \geq 0;\\\\ (5t-2)(t+1) \geq 0;\\\\t \leq -1;V;t \geq \frac{2}{5};\\\\t \geq \frac{2}{5};\\\\ (\frac{5}{2})^{\frac{1}{x}} \geq \frac{2}{5};\\\\(\frac{5}{2})^{\frac{1}{x}} \geq (\frac{5}{2})^{-1};\\\\ \frac{5}{2} \geq 1;\\\\\frac{1}{x} \geq -1;\\\\\frac{1+x}{x} \geq 0;\\\\x \leq -1;V;x>0;\\\\ (-\infty; -1] \cup (0;+\infty)" alt="\frac{5}{2}^{\frac{1}{x}}=t>0;\\\\5t^2+3t-2 \geq 0;\\\\ (5t-2)(t+1) \geq 0;\\\\t \leq -1;V;t \geq \frac{2}{5};\\\\t \geq \frac{2}{5};\\\\ (\frac{5}{2})^{\frac{1}{x}} \geq \frac{2}{5};\\\\(\frac{5}{2})^{\frac{1}{x}} \geq (\frac{5}{2})^{-1};\\\\ \frac{5}{2} \geq 1;\\\\\frac{1}{x} \geq -1;\\\\\frac{1+x}{x} \geq 0;\\\\x \leq -1;V;x>0;\\\\ (-\infty; -1] \cup (0;+\infty)" align="absmiddle" class="latex-formula">