Question

solve for u.
|3u + 12| = -9
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
u =

Explanation:

Step1: Recall absolute value property

The absolute value of a number, denoted as \(|x|\), is always non - negative, i.e., \(|x|\geq0\) for any real number \(x\).
In the equation \(|3u + 12|=-9\), the left - hand side \(|3u+12|\) represents the absolute value of the expression \(3u + 12\). By the definition of absolute value, \(|3u + 12|\geq0\) for all real numbers \(u\).

Step2: Analyze the right - hand side

The right - hand side of the equation is \(-9\), and \(-9<0\). Since the left - hand side (an absolute value) is always non - negative and the right - hand side is negative, there is no real number \(u\) that can satisfy the equation \(|3u + 12|=-9\).

Answer:

No solution