Questions: The solution set of 3y<0 is

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

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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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