Question #6445506Fill in the Blank
Algebra-1
Question
Solve the absolute value equation . The solutions are or .
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to solve an absolute value equation with a linear expression inside the absolute value. The student needs to set up and solve two separate equations to find the solutions.
Key Concept Explanation
The key concept here is the application of the basic rule for absolute value equations. The equation implies that or . Solving these two equations will yield the solutions.
Step-by-step Solution
1. Set up the two equations: and .
2. Solve the first equation: .
Subtract 2 from both sides:
This question tests the ability to solve an absolute value equation with a linear expression inside the absolute value. The student needs to set up and solve two separate equations to find the solutions.
Key Concept Explanation
The key concept here is the application of the basic rule for absolute value equations. The equation implies that or . Solving these two equations will yield the solutions.
Step-by-step Solution
1. Set up the two equations: and .
2. Solve the first equation: .
Subtract 2 from both sides:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!