\[6x² - 7x + 2 \leq 0\]
\[6x^{2} - 7x + 2 = 0\]
\[D = 49 - 48 = 1\]
\[x_{1} = \frac{7 + 1}{12} = \frac{2}{3}\]
\[x_{2} = \frac{7 - 1}{12} = \frac{1}{2} = 0,5\]
\[Ответ:нет\ целых\ решений.\]