Math Problem Statement
solve the absolute value equation /2x-5/+10=5
Solution
We are given the absolute value equation:
Step 1: Isolate the absolute value expression
Subtract 10 from both sides:
Step 2: Analyze the equation
Since the absolute value of any expression is always non-negative (i.e., it must be greater than or equal to 0), there is no solution when the absolute value equals a negative number.
Thus, there is no solution to the equation.
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Related Questions:
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Tip:
Always check if isolating the absolute value leads to a negative number—if it does, the equation has no solution.
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Math Problem Analysis
Mathematical Concepts
Algebra
Absolute Value Equations
Formulas
|ax + b| = c
Basic algebraic isolation techniques
Theorems
Properties of absolute value
No solution when absolute value equals a negative number
Suitable Grade Level
Grades 8-10