Question

Resolva as seguintes inequações do 1o Grau:

$j- \frac{1-3x}{2}-x\ \textgreater \ \frac{x-1}{3}-1$

$K-x+ \frac{5-x}{6}\ \textgreater \ \frac{4x+4}{3}- \frac{x}{2}$

$L- \frac{x}{2}+ \frac{x-1}{3} \leq x- \frac{x}{6}$

Answer 1

$\frac{1-3x}{2} -x- \frac{x-1}{3} \ \textgreater \ -1$ --(mmc=6)

3 - 9x - 6x - 2x + 2 > - 6
5 - 17x > - 6
   - 17x > -6 - 5
   - 17x > - 11
     17x < 11 ---> x < 11/17

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 K) $-x + \frac{5-x}{6} \ \textgreater \ \frac{4x+4}{3} - \frac{x}{2}$ ---(mmc=6)
      - 6x + 5 -x > 8x + 8 - 3x
      - 7x + 5 > 5x + 8
      - 7x - 5x > 8 - 5
           - 12x > 3
             12x < - 3
                 x < -3/12 --> x < - 1/4
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L)  $- \frac{x}{2}+ \frac{x-6}{3} \leq x - \frac{x}{6}$ -----(mmc=6)
     $- 3x + 2x - 2 \leq 6x - x$
    $-x - 2 \leq 5x$
   $-x-5x \leq 2$
   $-6x \leq 2$
   $6x \geq -2$
   $x \geq - \frac{2}{6}$
  $x \geq - \frac{1}{3}$