Question

resolver la inecuacion 2x+1/3x-1≥2x+5/3x+2​

Answer 1

PROCEDIMIENTO:

$2x+\frac{1}{3}x-1\ge \:2x+\frac{5}{3}x+2\\\\2x+\frac{1}{3}x-1-2x\ge \:2x+\frac{5}{3}x+2-2x\\\\\frac{1}{3}x-1\ge \frac{5}{3}x+2\\\\\frac{1}{3}x-1+1\ge \frac{5}{3}x+2+1\\\\\frac{1}{3}x\ge \frac{5}{3}x+3\\\\\frac{1}{3}x-\frac{5}{3}x\ge \frac{5}{3}x+3-\frac{5}{3}x\\\\-\frac{4}{3}x\ge \:3\\\\\left(-\frac{4}{3}x\right)\left(-1\right)\le \:3\left(-1\right)\\\\\frac{4}{3}x\le \:-3\\\\3\cdot \frac{4}{3}x\le \:3\left(-3\right)\\\\4x\le \:-9\\\\\frac{4x}{4}\le \frac{-9}{4}\\\\x\le \:-\frac{9}{4}$