Question

hw sec. 2.6
score: 2/8 2/8 answered
question 3
solve for y:
|6y - 2| = -4
y =
question help: video ebook

Explanation:

Step1: Recall absolute value property

The absolute value of a number, denoted as \(|x|\), is always non - negative, i.e., \(|x|\geq0\) for all real numbers \(x\). In the equation \(|6y - 2|=-4\), the left - hand side \(|6y - 2|\) represents the absolute value of the expression \(6y - 2\).

Step2: Analyze the equation

Since the absolute value of any real number is greater than or equal to \(0\), the expression \(|6y - 2|\) can never be equal to \(- 4\) (because \(-4<0\)). So, there is no real number \(y\) that satisfies the equation \(|6y - 2|=-4\).

Answer:

No solution (or \(\text{No real solution}\))