Explicación paso a paso:
[tex] \frac{2}{3} \times \frac{1}{4} \leqslant \frac{x}{6} - \frac{5}{12} \\ \frac{2}{6} \leqslant \frac{2x - 5}{12} \\ \frac{2}{6} \leqslant \frac{2x}{12} - \frac{5}{12} \\ \frac{2}{6} + \frac{5}{12} \leqslant \frac{2x}{12} \\ \frac{4 + 5}{12} \leqslant \frac{2x}{12} \\ \frac{9}{12} \leqslant \frac{2x}{12} \\ \frac{9 \times 12}{12 \times 2} \leqslant x \\ \frac{9}{2} \leqslant x \\ intervalo \: cerrado \: \frac{9}{2} . + \infty )[/tex]
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Explicación paso a paso:
[tex] \frac{2}{3} \times \frac{1}{4} \leqslant \frac{x}{6} - \frac{5}{12} \\ \frac{2}{6} \leqslant \frac{2x - 5}{12} \\ \frac{2}{6} \leqslant \frac{2x}{12} - \frac{5}{12} \\ \frac{2}{6} + \frac{5}{12} \leqslant \frac{2x}{12} \\ \frac{4 + 5}{12} \leqslant \frac{2x}{12} \\ \frac{9}{12} \leqslant \frac{2x}{12} \\ \frac{9 \times 12}{12 \times 2} \leqslant x \\ \frac{9}{2} \leqslant x \\ intervalo \: cerrado \: \frac{9}{2} . + \infty )[/tex]