Question

Solve |3x + 1| + 6 2

A. No solutions
B. x 4 or x -5
C. Infinitely many solutions
D. -4 ; x; 2

Answer 1

The equation |3x + 1| + 6 = 0 has no solutions because the absolute value is always non-negative and cannot equal -6.

Step-by-step explanation:

To solve the equation |3x + 1| + 6 = 0, we start by isolating the absolute value on one side of the equation:

• |3x + 1| = -6

However, we immediately notice that the absolute value of any number is always non-negative, meaning it can never be equal to -6. Therefore, this equation has no solutions. The absolute value cannot be negative, and adding 6 to it won't change this property.