What is the solution to 4|0.5x – 2.5| = 0?

a. x = 1.25
b. x = 5
c. x = –1.25 or x = 1.25
d. x = –5 or x = 5

The answer is B. x=5

Step-by-step explanation:

You start out with 4|0.5x-2.5|=0

1. Distribute 4 (multiply) to the numbers inside the absolute value sign. This gives us |2x-10|=0

2. To cancel out -10, we must add 10 to each side of the equation, giving us |2x|=10

3. To cancel out 2x, we divide 2 into both sides of the equation. This cancels out 2 and leaves us with x=5.

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