Explicación paso a paso:
[tex] \frac{3}{5} + \frac{x}{2} \leqslant \frac{3x}{4} - \frac{9}{10} \\ \frac{3}{5} + \frac{9}{10} \leqslant \frac{3x}{4} - \frac{x}{2} \\ \frac{6 + 9}{10} \leqslant \frac{3x - 2x}{4} \\ \frac{15}{10} \leqslant \frac{x}{4} \\ 4 \times 15 \leqslant 10 \times x \\ 60 \leqslant 10x \\ \frac{60}{10} \leqslant x \\ 6 \leqslant x \\ conjunto \: solucion \: intervalo \: cerrado \: 6 + \infty )[/tex]
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Explicación paso a paso:
[tex] \frac{3}{5} + \frac{x}{2} \leqslant \frac{3x}{4} - \frac{9}{10} \\ \frac{3}{5} + \frac{9}{10} \leqslant \frac{3x}{4} - \frac{x}{2} \\ \frac{6 + 9}{10} \leqslant \frac{3x - 2x}{4} \\ \frac{15}{10} \leqslant \frac{x}{4} \\ 4 \times 15 \leqslant 10 \times x \\ 60 \leqslant 10x \\ \frac{60}{10} \leqslant x \\ 6 \leqslant x \\ conjunto \: solucion \: intervalo \: cerrado \: 6 + \infty )[/tex]