Math Problem Statement
|3x+4|=-3
Solution
The equation has no solution.
This is because the absolute value of any expression is always non-negative (i.e., for any real number ). Since the right-hand side of the equation is a negative number (-3), there is no value of that would make the absolute value equal to -3.
Therefore, the equation is inconsistent, and no real solutions exist.
Would you like more details on absolute value equations or have any other questions?
Here are five related questions:
- How do you solve absolute value equations when the right side is positive?
- What are the key properties of absolute values?
- Can an absolute value equation have more than one solution?
- How do you solve inequalities involving absolute values?
- What are the practical applications of absolute value equations?
Tip: Always remember that absolute values represent distance and can never be negative.
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Math Problem Analysis
Mathematical Concepts
Algebra
Absolute Value Equations
Formulas
|A| >= 0 for any real number A
Theorems
Properties of Absolute Value
Suitable Grade Level
Grades 8-10