Question

solve for u.
-3|2u| = 18
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o solution\.

Explanation:

Step1: Isolate the absolute value

Divide both sides of the equation \(-3|2u| = 18\) by \(-3\).
\(\frac{-3|2u|}{-3}=\frac{18}{-3}\)
\(|2u|=-6\)

Step2: Analyze the absolute value

The absolute value of a number is always non - negative (i.e., greater than or equal to 0). So, \(|2u|\geq0\) for all real numbers \(u\). But we have \(|2u| = - 6\), and \(-6<0\). There is no real number \(u\) that can satisfy this equation.

Answer:

No solution