Math Problem Statement
x β 1 | |
11 | 3 | π₯ β 1 | |
1 1
Solution
It looks like you're trying to solve the absolute value equation:
Step 1: Remove Absolute Value by Setting Two Cases
The definition of absolute value states that if , then:
So, applying this to our equation:
Step 2: Solve for
Case 1:
Case 2:
Final Answer:
Would you like me to explain anything further? Here are five related questions:
- How do you solve absolute value inequalities?
- What happens if an absolute value equation has no solution?
- Can absolute value equations have more than two solutions?
- How do you graph absolute value functions?
- What are some real-world applications of absolute value equations?
Tip: When solving absolute value equations, always check for extraneous solutions in more complex cases.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Absolute Value Equations
Formulas
|A| = B β A = B or A = -B
Theorems
Definition of Absolute Value
Suitable Grade Level
Grades 7-9