Resposta:
[tex]j) \: 4x + \frac{x}{2} \leqslant 0 \times (2)\\ \\ 8x + x \leqslant 0 \\ 9x \leqslant 0 \div (9) \\ x \leqslant 0[/tex]
[tex]k) \: \frac{5x}{4} + \frac{x}{2} > 2x - 1 \times (4) \\ \\ 5x + 2x > 8x - 4 \\ 7x > 8x - 4 \\ 7x - 8x > - 4 \\ - x > - 4 \times ( - 1) \\ x < 4[/tex]
[tex]l) \: \frac{x}{3} - \frac{x}{2} - \frac{1}{2} \geqslant \frac{1}{4} - \frac{x}{4} \times (12) \\ \\ 4x - 6x - 6 \geqslant 3 - 3x \\ - 2x - 6 \geqslant 3 - 3x \\ - 2x - 6 + 3x - \geqslant 3 \\ - 2x + 3x \geqslant 3 + 6 \\ x \geqslant 9[/tex]
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Resposta:
[tex]j) \: 4x + \frac{x}{2} \leqslant 0 \times (2)\\ \\ 8x + x \leqslant 0 \\ 9x \leqslant 0 \div (9) \\ x \leqslant 0[/tex]
[tex]k) \: \frac{5x}{4} + \frac{x}{2} > 2x - 1 \times (4) \\ \\ 5x + 2x > 8x - 4 \\ 7x > 8x - 4 \\ 7x - 8x > - 4 \\ - x > - 4 \times ( - 1) \\ x < 4[/tex]
[tex]l) \: \frac{x}{3} - \frac{x}{2} - \frac{1}{2} \geqslant \frac{1}{4} - \frac{x}{4} \times (12) \\ \\ 4x - 6x - 6 \geqslant 3 - 3x \\ - 2x - 6 \geqslant 3 - 3x \\ - 2x - 6 + 3x - \geqslant 3 \\ - 2x + 3x \geqslant 3 + 6 \\ x \geqslant 9[/tex]