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Question
3|v| = -15
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v =
Step1: Recall absolute value property
The absolute value of a number \(|x|\) is always non - negative, i.e., \(|x|\geq0\) for all real numbers \(x\).
Step2: Analyze the given equation
We are given the equation \(3|v|=- 15\). Divide both sides of the equation by 3: \(\frac{3|v|}{3}=\frac{-15}{3}\), which simplifies to \(|v|=-5\).
But since the absolute value of any real number \(v\) must be greater than or equal to 0, and \(- 5<0\), there is no real number \(v\) that satisfies the equation \(|v|=-5\).
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