Math Problem Statement
|b/5| = 1
Solution
The given problem is:
To solve this, we need to consider the properties of absolute values. The absolute value equation has two solutions: or . Therefore, the equation can be broken into two parts:
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Multiply both sides by 5:
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Multiply both sides by 5:
So, the solutions to the equation are:
Would you like a more detailed explanation or have any questions about this solution?
Related Questions:
- How do you solve absolute value equations with more complex expressions?
- What happens when the absolute value equals zero, such as ?
- How would you graph the function ?
- What are the general properties of absolute value functions?
- Can an absolute value equation have no solution?
Tip: When solving absolute value equations, remember that the equation (where ) always results in two potential cases: and .
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Math Problem Analysis
Mathematical Concepts
Algebra
Absolute Value Equations
Formulas
|x| = a has solutions x = a or x = -a
Theorems
Absolute Value Property
Suitable Grade Level
Grades 6-8