[tex]a) \frac{2x-3}{4} + \frac{3x+4}{2} \leq \frac{2x-4}{3} [/tex]
[tex] \frac{2x-3+6x+8}{4} \leq \frac{2x-4}{3} [/tex]
[tex] \frac{8x+5}{4} \leq \frac{2x-4}{3} [/tex]
[tex]3(8x+5)\leq4(2x-4)[/tex]
[tex]24x+15 \leq 8x-16[/tex]
[tex]15x\leq-31[/tex]
[tex]x\leq-31/15[/tex]
[tex]b) \frac{3x-1}{2}+x \geq \frac{2x+1}{3}-2x[/tex]
[tex] \frac{5x-1}{2} \geq \frac{-4x+1}{3}[/tex]
[tex]15x-3 \geq -8x+2[/tex]
[tex]23x \geq 5[/tex]
[tex]x \geq 5/23[/tex]
[tex]c) \frac{1-x}{3} - \frac{2-x}{2} \leq \frac{x+1}{6}[/tex]
[tex]\frac{2-2x-6+3x}{6} \leq \frac{x+1}{6}[/tex]
[tex]x-4 \leq x+1[/tex]
[tex]-4 \leq 1[/tex]
X∈R
