Solve the Equation: -|2z| with Negative Absolute Value

2z= -\left|2z\right|=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

2z= -\left|2z\right|=

2

Step-by-step solution

The absolute value function 2z \left|2z\right| simply returns 2z 2z when z z is positive and 2z -2z whenz z is negative, ensuring the result is non-negative. However, the minus sign outside the absolute value 2z -\left|2z\right| negates the result of the absolute value. Therefore, 2z -\left|2z\right| results in 2z -2z for all z z . Hence, the original expression evaluates to 2z -2z .

3

Final Answer

2z -2z

Practice Quiz

Test your knowledge with interactive questions

Determine the absolute value of the following number:

\( \left|18\right|= \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Absolute Value and Inequality questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations