Сложный вариант решения:
0\\\\5\sqrt2-5\sqrt5-x\sqrt2+x\sqrt5>0\\\\-x(\sqrt2-\sqrt5)>5\sqrt5-5\sqrt2\\\\-x>\frac{5\sqrt5-5\sqrt2}{\sqrt2-\sqrt5}\\\\-x>\frac{5(\sqrt5-\sqrt2)}{\sqrt2-\sqrt5}\\\\-x>-5\\\\x<5" alt="(5-x)(\sqrt2 -\sqrt5)>0\\\\5\sqrt2-5\sqrt5-x\sqrt2+x\sqrt5>0\\\\-x(\sqrt2-\sqrt5)>5\sqrt5-5\sqrt2\\\\-x>\frac{5\sqrt5-5\sqrt2}{\sqrt2-\sqrt5}\\\\-x>\frac{5(\sqrt5-\sqrt2)}{\sqrt2-\sqrt5}\\\\-x>-5\\\\x<5" align="absmiddle" class="latex-formula">
Вариант проще:
0|:(\sqrt2 -\sqrt5)\\5-x>0\\x<5" alt="(5-x)(\sqrt2 -\sqrt5)>0|:(\sqrt2 -\sqrt5)\\5-x>0\\x<5" align="absmiddle" class="latex-formula">