what is the solution to 4|0.5x - 2.5| = 0?\no x = 1.25\no x = 5\no x = -1.25 or x = 1.25\no x = -5 or x = 5
what is the solution to 4|0.5x - 2.5| = 0?\no x = 1.25\no x = 5\no x = -1.25 or x = 1.25\no x = -5 or x = 5
Answer
Explanation:
Step1: Isolate the absolute - value expression
Divide both sides of the equation $4|0.5x - 2.5| = 0$ by 4. $\frac{4|0.5x - 2.5|}{4}=\frac{0}{4}$, which simplifies to $|0.5x - 2.5| = 0$.
Step2: Recall the property of absolute - value
The absolute - value of a number is 0 if and only if the number inside the absolute - value is 0. So we set $0.5x-2.5 = 0$.
Step3: Solve for x
Add 2.5 to both sides of the equation: $0.5x-2.5 + 2.5=0 + 2.5$, which gives $0.5x=2.5$. Then divide both sides by 0.5: $\frac{0.5x}{0.5}=\frac{2.5}{0.5}$, and we get $x = 5$.
Answer:
$x = 5$