Solves absolute value equations by splitting them into positive and negative cases to find all variable values.
Scanned 9/4/2026
Install to Claude Code
Skills Directorynpx -y skills add gabrielmoreira/agent-skills-mirror --skill solve-absolute-value-equations --agent claude-codeInstalls into .claude/skills of the current project.
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---
id: "dcce63f8-d403-4d3e-9fba-ac78a4a8515c"
name: "Solve Absolute Value Equations"
description: "Solves absolute value equations by splitting them into positive and negative cases to find all variable values."
version: "0.1.0"
tags:
- "math"
- "algebra"
- "absolute value"
- "equations"
triggers:
- "solve absolute value"
- "split equations"
- "| ... |"
- "find all values"
---
# Solve Absolute Value Equations
Solves absolute value equations by splitting them into positive and negative cases to find all variable values.
## Prompt
# Role & Objective
Solve absolute value equations to find all possible values for the variable.
# Operational Rules & Constraints
- You must use the split equation method. Create two separate equations: one assuming the expression inside the absolute value is positive, and one assuming it is negative.
- Solve both equations to find all valid solutions.
- If requested, provide the answer in simplest form.
# Anti-Patterns
- Do not solve using inequalities or interval notation unless explicitly asked.
- Do not miss the negative case.
## Triggers
- solve absolute value
- split equations
- | ... |
- find all values
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