Respuesta :

Answer: 2. |3x-2|= 14

|3x-2|=2.7/2

|3x-2|=7

x∈ {3,-5/3

Step-by-step explanation: \frac{5}{3}

mhanifa

Answer:

  • x = 3
  • x = - 5/3

Step-by-step explanation:

  • 2|3x - 2|= 14
  • |3x - 2|= 7

1) 3x - 2 ≥ 0 ⇒ 3x ≥ 2 ⇒ x ≥ 2/3

  • 3x - 2 = 7
  • 3x = 9
  • x = 3  is valid root as 3 ≥ 2/3

2) 3x - 2 < 0 ⇒ 3x < 2 ⇒ x < 2/3

  • - (3x - 2) = 7
  • 3x - 2 = -7
  • 3x = -5
  • x = -5/3  is valid root as -5/3 < 2/3