Question

Select the correct answer. What is the solution to 4|x − 3| + 1 = 1? A. x = 3 B. x = 3 or x = 4 C. x = 3 or x = 6 D. No solutions exist.

Answer 1

a

Explanation:

Answer 2

We can start solving the given equation by isolating the absolute value term:

4|x - 3| = 0

Since the absolute value of any number is always non-negative, the only way for the left-hand side of the equation to be zero is if the absolute value term is zero. This means:

|x - 3| = 0

And the only solution to this equation is:

x - 3 = 0

x = 3

Therefore, the correct answer is A. x = 3.