Question

Помогите решить неравенство

Answer 1

$frac{(frac{1}{18}x^2-frac{5}{6}x+1)}{5}<5 ; |cdot 5 \\frac{1}{18}x^2-frac{5}{6}x+1<25; |cdot 18\\x^2-15x+18<450\\x^2-15x-432<0\\D=1953,; ; x_{1,2}=frac{15pm sqrt{1953}}{2}=frac{15pm 3sqrt{217}}{2}\\+++(x_1)---(x_2)+++\\xin (frac{15-3sqrt{217}}{2}; ;;  frac{15+3sqrt{217}}{2})$