resolver a inequação [tex] \left \{ {{ \frac{x-1}{3} - \frac{x+1}{2} \geq 4 } \atop {1 - \frac{x+2}{.... Pergunta de ideia decassiiagabriela16

cassiiagabriela16 @cassiiagabriela16

October 2020 1 62 Report

resolver a inequação [tex] \left \{ {{ \frac{x-1}{3} - \frac{x+1}{2} \geq 4 } \atop {1 - \frac{x+2}{3} \geq 0}} \right.[/tex]

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WemillyC X - 1 x + 1 2(x - 1) - 3.(x+1) 24
-------- - --------- ≥ 4 => ------------------------ ≥ --------
3 2    6 6

2(x - 1) - 3.(x+1) ≥ 24
2x - 2 - 3x - 3 ≥ 24
2x - 3x ≥ 24 + 2 + 3
-x ≥ 29 . (-1)
x ≤ -29


  x + 2   3       x + 2
1 - ---------- ≥ 0 => -------- - ---------- ≥ 0
3 3     3

  x + 2   x + 2 3
- ---------- ≥ -1 =>  - -------------- ≥ - --------- =>
3    3 3

=> - (x - 2) ≥ -3 (-1)
x + 2 ≤ 3
x ≤ 3 - 2
x ≤ 1

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