Questions: The solution set of 3y<0 is

Transcript text: The solution set of $|3 y|<0$ is

Solution

Solution Steps

To solve the inequality $ |3y| < 0 $, we need to understand the properties of absolute values. The absolute value of any real number is always non-negative, meaning it is always greater than or equal to zero. Therefore, there are no real numbers $ y $ that satisfy the inequality $ |3y| < 0 $.

Step 1: Understanding the Properties of Absolute Values

The absolute value of any real number is always non-negative. This means that for any real number $ x $, $ |x| \geq 0 $.

Step 2: Analyzing the Inequality

Given the inequality $ |3y| < 0 $, we need to find values of $ y $ such that the absolute value of $ 3y $ is less than zero. However, since the absolute value is always non-negative, there are no real numbers $ y $ that can satisfy this inequality.

Final Answer

$\boxed{\emptyset}$

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