Matematika

Pertanyaan

jawaban nya apa |2x+3|-2<4. tentang PtLSVNM

2 Jawaban

  • |2x + 3| - 2 < 4
    -4 < 2x + 3 - 2 < 4
    -4 < 2x + 1 < 4
    -4 - 1 < 2x + 1 - 1 < 4 - 1
    -5 < 2x < 3
    -5 ÷ 2 < 2x ÷ 2 < 3 ÷ 2
    [tex]\bold{ -\frac{5}{2}\ \textless \ x\ \textless \ \frac{3}{2}} [/tex]
    atau
    -2,5 < x < 1,5
  • |2x + 3| - 2 < 4
    |2x + 3| < 6
    (2x + 3)^2 < 6^2
    4x^2 + 12x + 9 < 36
    4x^2 + 12x - 27 < 0
    (2x + 9)(2x - 3) < 0
    x = -9/2 atau x = 3/2
    +++ (-9/2) --- (3/2) +++
    -9/2 < x < 3/2

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