what is the solution to 4|0.5x – 2.5| = 0?
4|0.5x - 2.5| = 0
|4(0.5x - 2.5)| = 0
|2x - 10| = 0 ⇔ 2x - 10 = 0 |add 10 to both sides
2x = 10 |divide both sides by 2
x = 5
Answer:
The solution of the given equation is 5.
Step-by-step explanation:
The given equation is
\(4|0.5x-2.5|=0\)
Divide both sides by 4.
\(|0.5x-2.5|=0\)
\(0.5x-2.5=0\)
Add 2.5 on both the sides.
\(0.5x-2.5+2.5=0+2.5\)
\(0.5x=2.5\)
Divide both sides by 0.5.
\(x=\frac{2.5}{0.5}\)
\(x=5\)
The value of x is 5.
Therefore the solution of the given equation is 5.