Explicação passo-a-passo:

[tex]3x + 2 \geqslant 5x - 2[/tex]

[tex]3x - 5x \geqslant - 2 - 2[/tex]

[tex] - 2x \geqslant - 4[/tex]

[tex]2x \leqslant 4[/tex]

[tex]x \leqslant \frac{4}{2} [/tex]

[tex]x \leqslant 2[/tex]

[tex] = = = = = = = = = = = = = = [/tex]

[tex]4x - 1 > 3x - 4[/tex]

[tex]4x - 3x > - 4 + 1[/tex]

[tex]x > - 3[/tex]

[tex] = = = = = = = = = = = = = = [/tex]

[tex]3 - 2x < x - 6[/tex]

[tex] - 2x - x < - 6 - 3[/tex]

[tex] - 3x < - 9[/tex]

[tex]3x > 9[/tex]

[tex]x > \frac{9}{3} [/tex]

[tex]x > 3[/tex]