Question

2|3x - 2|= 14 how would you solve this absolute value equation?

Answer 1

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

Answer 2

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

|3x-2|=2.7/2

|3x-2|=7

x∈ {3,-5/3

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