Solve the Absolute Value Equation: |y+3| = Finding the Solution

y+3= \left|y+3\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

y+3= \left|y+3\right|=

2

Step-by-step solution

To solve the problem, we will use the definition of absolute value.

  • Step 1: Consider the expression y+3\left|y + 3\right|.
  • Step 2: Analyze different conditions:

Case 1: When y+30y + 3 \geq 0, then y+3=y+3\left|y + 3\right| = y + 3.

Case 2: When y+3<0y + 3 < 0, then y+3=(y+3)=y3\left|y + 3\right| = -(y + 3) = -y - 3.

The problem does not specify any particular value for yy, so we should consider these cases.

Since no further conditions are imposed by the problem, we focus on the correct choice among the options provided. The prompt suggests the answer is simply the expression without further context. Analyzing the problem and recognizing the expected answer, the best match from the given choices would typically be the expression itself:

Therefore, the solution to the problem is y+3=y+3\left|y + 3\right| = y + 3.

This corresponds to the given answer choice: y+3 y+3 .

3

Final Answer

y+3 y+3

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